%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP620+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:24:11 AM UTC 2026
% Result : Theorem 21.69s 5.53s
% Output : CNFRefutation 21.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP620+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 15:03:49 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.69/5.53 % SZS status Theorem for theBenchmark.p
% 21.69/5.53 % SZS output start CNFRefutation for theBenchmark.p
% 21.69/5.53 fof(d1_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ! [X1] : (('m1$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) => (X1 = 'k1$uautgroup'(X0) <=> (! [X2] : (('m2$ufraenkel'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),X1) => ('v1$ufunct$u1'(X2) & ('v1$ufunct$u2'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) & ('v1$ugroup$u6'(X2,X0,X0) & 'm2$urelset$u1'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))))))) & ! [X2] : ((('v1$ufunct$u1'(X2) & ('v1$ufunct$u2'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) & ('v1$ugroup$u6'(X2,X0,X0) & 'm2$urelset$u1'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))))) => ('r2$uhidden'(X2,X1) <=> ('v2$ufunct$u1'(X2) & 'v3$ugroup$u6'(X2,X0,X0)))))))))))).
% 21.69/5.53 fof(dt_k1_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => 'm1$ufraenkel'('k1$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))))).
% 21.69/5.53 fof(dt_l1_group_1, axiom, ! [X0] : (('l1$ugroup$u1'(X0) => 'l1$ustruct$u0'(X0)))).
% 21.69/5.53 fof(dt_m1_fraenkel, axiom, ! [X0] : ! [X1] : ! [X2] : (('m1$ufraenkel'(X2,X0,X1) => (~'v1$uxboole$u0'(X2) & 'v1$ufraenkel'(X2))))).
% 21.69/5.53 fof(dt_m2_fraenkel, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v1$uxboole$u0'(X1) & 'm1$ufraenkel'(X2,X0,X1)) => ! [X3] : (('m2$ufraenkel'(X3,X0,X1,X2) => ('v1$ufunct$u1'(X3) & ('v1$ufunct$u2'(X3,X0,X1) & 'm2$urelset$u1'(X3,X0,X1)))))))).
% 21.69/5.53 fof(fc1_struct_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l1$ustruct$u0'(X0)) => ~'v1$uxboole$u0'('u1$ustruct$u0'(X0))))).
% 21.69/5.53 fof(rc1_partfun1, axiom, ? [X0] : (('v1$urelat$u1'(X0) & ('v1$ufunct$u1'(X0) & ('v2$ufunct$u1'(X0) & 'v1$uxboole$u0'(X0)))))).
% 21.69/5.53 fof(rc2_funct_1, axiom, ? [X0] : (('v1$urelat$u1'(X0) & ('v1$uxboole$u0'(X0) & 'v1$ufunct$u1'(X0))))).
% 21.69/5.53 fof(redefinition_m2_fraenkel, axiom, ! [X0] : ! [X1] : ! [X2] : (((~'v1$uxboole$u0'(X1) & 'm1$ufraenkel'(X2,X0,X1)) => ! [X3] : (('m2$ufraenkel'(X3,X0,X1,X2) <=> 'm1$usubset$u1'(X3,X2)))))).
% 21.69/5.53 fof(t1_subset, axiom, ! [X0] : ! [X1] : (('r2$uhidden'(X0,X1) => 'm1$usubset$u1'(X0,X1)))).
% 21.69/5.53 fof(t2_subset, axiom, ! [X0] : ! [X1] : (('m1$usubset$u1'(X0,X1) => ('v1$uxboole$u0'(X1) | 'r2$uhidden'(X0,X1))))).
% 21.69/5.53 fof(t5_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ! [X1] : ((('v1$ufunct$u1'(X1) & ('v1$ufunct$u2'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) & ('v1$ugroup$u6'(X1,X0,X0) & 'm2$urelset$u1'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))))) => ('r2$uhidden'(X1,'k1$uautgroup'(X0)) <=> 'v4$ugroup$u6'(X1,X0,X0))))))).
% 21.69/5.53 fof(t6_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ! [X1] : (('m2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)) => ('v1$ufunct$u1'('k2$ufunct$u1'(X1)) & ('v1$ufunct$u2'('k2$ufunct$u1'(X1),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) & ('v1$ugroup$u6'('k2$ufunct$u1'(X1),X0,X0) & 'm2$urelset$u1'('k2$ufunct$u1'(X1),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)))))))))).
% 21.69/5.53 fof(t6_boole, axiom, ! [X0] : (('v1$uxboole$u0'(X0) => X0 = 'k1$uxboole$u0'))).
% 21.69/5.53 fof(t73_group_6, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0)))) => ! [X1] : (((~'v3$ustruct$u0'(X1) & ('v3$ugroup$u1'(X1) & ('v4$ugroup$u1'(X1) & 'l1$ugroup$u1'(X1)))) => ! [X2] : ((('v1$ufunct$u1'(X2) & ('v1$ufunct$u2'(X2,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)) & ('v1$ugroup$u6'(X2,X1,X0) & 'm2$urelset$u1'(X2,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0))))) => ! [X3] : ((('v1$ufunct$u1'(X3) & ('v1$ufunct$u2'(X3,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) & ('v1$ugroup$u6'(X3,X0,X1) & 'm2$urelset$u1'(X3,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1))))) => (('v4$ugroup$u6'(X2,X1,X0) & X3 = 'k2$ufunct$u1'(X2)) => 'v4$ugroup$u6'(X3,X0,X1))))))))))).
% 21.69/5.53 fof(t8_boole, axiom, ! [X0] : ! [X1] : ~(('v1$uxboole$u0'(X0) & (X0 != X1 & 'v1$uxboole$u0'(X1))))).
% 21.69/5.53 fof(t7_autgroup, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ! [X1] : (('m2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)) => 'm2$ufraenkel'('k2$ufunct$u1'(X1),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))))))).
% 21.69/5.53 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ! [X1] : (('m2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)) => 'm2$ufraenkel'('k2$ufunct$u1'(X1),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)))))), inference(negate_conjecture, [status(cth)], [t7_autgroup])).
% 21.69/5.53 cnf(c25, plain, ~'l1$ugroup$u1'(X0) | X1 != 'k1$uautgroup'(X0) | X2(X0,X1) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | ~'m1$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [d1_autgroup])).
% 21.69/5.53 cnf(c42, plain, ~X0(X1,X2) | ~'m2$ufraenkel'(X3,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),X2) | 'v1$ugroup$u6'(X3,X1,X1), inference(clausification, [status(esa)], [d1_autgroup])).
% 21.69/5.53 cnf(c49, plain, 'v3$ustruct$u0'(X0) | 'm1$ufraenkel'('k1$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'l1$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0), inference(clausification, [status(esa)], [dt_k1_autgroup])).
% 21.69/5.53 cnf(c52, plain, ~'l1$ugroup$u1'(X0) | 'l1$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_l1_group_1])).
% 21.69/5.53 cnf(c53, plain, ~'m1$ufraenkel'(X0,X1,X2) | ~'v1$uxboole$u0'(X0), inference(clausification, [status(esa)], [dt_m1_fraenkel])).
% 21.69/5.53 cnf(c55, plain, 'v1$uxboole$u0'(X0) | ~'m1$ufraenkel'(X1,X2,X0) | ~'m2$ufraenkel'(X3,X2,X0,X1) | 'v1$ufunct$u1'(X3), inference(clausification, [status(esa)], [dt_m2_fraenkel])).
% 21.69/5.53 cnf(c56, plain, 'v1$uxboole$u0'(X0) | ~'m1$ufraenkel'(X1,X2,X0) | ~'m2$ufraenkel'(X3,X2,X0,X1) | 'v1$ufunct$u2'(X3,X2,X0), inference(clausification, [status(esa)], [dt_m2_fraenkel])).
% 21.69/5.53 cnf(c57, plain, 'v1$uxboole$u0'(X0) | ~'m1$ufraenkel'(X1,X2,X0) | ~'m2$ufraenkel'(X3,X2,X0,X1) | 'm2$urelset$u1'(X3,X2,X0), inference(clausification, [status(esa)], [dt_m2_fraenkel])).
% 21.69/5.53 cnf(c71, plain, 'v3$ustruct$u0'(X0) | ~'l1$ustruct$u0'(X0) | ~'v1$uxboole$u0'('u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [fc1_struct_0])).
% 21.69/5.53 cnf(c88, plain, 'v1$uxboole$u0'(sK80), inference(clausification, [status(esa)], [rc1_partfun1])).
% 21.69/5.53 cnf(c91, plain, 'v1$uxboole$u0'(sK82), inference(clausification, [status(esa)], [rc2_funct_1])).
% 21.69/5.53 cnf(c121, plain, 'v1$uxboole$u0'(X0) | ~'m1$ufraenkel'(X1,X2,X0) | ~'m2$ufraenkel'(X3,X2,X0,X1) | 'm1$usubset$u1'(X3,X1), inference(clausification, [status(esa)], [redefinition_m2_fraenkel])).
% 21.69/5.53 cnf(c122, plain, 'v1$uxboole$u0'(X0) | ~'m1$ufraenkel'(X1,X2,X0) | 'm2$ufraenkel'(X3,X2,X0,X1) | ~'m1$usubset$u1'(X3,X1), inference(clausification, [status(esa)], [redefinition_m2_fraenkel])).
% 21.69/5.53 cnf(c126, plain, ~'r2$uhidden'(X0,X1) | 'm1$usubset$u1'(X0,X1), inference(clausification, [status(esa)], [t1_subset])).
% 21.69/5.53 cnf(c127, plain, ~'m1$usubset$u1'(X0,X1) | 'v1$uxboole$u0'(X1) | 'r2$uhidden'(X0,X1), inference(clausification, [status(esa)], [t2_subset])).
% 21.69/5.53 cnf(c131, plain, ~'v1$ugroup$u1'(X0) | 'v4$ugroup$u6'(X1,X0,X0) | ~'v1$ufunct$u1'(X1) | ~'v1$ugroup$u6'(X1,X0,X0) | ~'r2$uhidden'(X1,'k1$uautgroup'(X0)) | ~'m2$urelset$u1'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | ~'l1$ugroup$u1'(X0) | ~'v1$ufunct$u2'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0), inference(clausification, [status(esa)], [t5_autgroup])).
% 21.69/5.53 cnf(c132, plain, ~'v1$ugroup$u1'(X0) | ~'v1$ufunct$u1'(X1) | ~'v1$ugroup$u6'(X1,X0,X0) | 'r2$uhidden'(X1,'k1$uautgroup'(X0)) | ~'m2$urelset$u1'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | ~'v4$ugroup$u6'(X1,X0,X0) | ~'l1$ugroup$u1'(X0) | ~'v1$ufunct$u2'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0), inference(clausification, [status(esa)], [t5_autgroup])).
% 21.69/5.53 cnf(c134, plain, ~'v3$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | 'v1$ufunct$u1'('k2$ufunct$u1'(X1)) | ~'v1$ugroup$u1'(X0) | ~'m2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)), inference(clausification, [status(esa)], [t6_autgroup])).
% 21.69/5.53 cnf(c135, plain, ~'v3$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'l1$ugroup$u1'(X0) | 'v1$ufunct$u2'('k2$ufunct$u1'(X1),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'v4$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | ~'m2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)), inference(clausification, [status(esa)], [t6_autgroup])).
% 21.69/5.53 cnf(c136, plain, ~'v3$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | 'v1$ugroup$u6'('k2$ufunct$u1'(X1),X0,X0) | ~'l1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | ~'m2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)), inference(clausification, [status(esa)], [t6_autgroup])).
% 21.69/5.53 cnf(c137, plain, ~'v3$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'l1$ugroup$u1'(X0) | 'm2$urelset$u1'('k2$ufunct$u1'(X1),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'v4$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | ~'m2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)), inference(clausification, [status(esa)], [t6_autgroup])).
% 21.69/5.53 cnf(c138, plain, ~'v1$uxboole$u0'(X0) | X0 = 'k1$uxboole$u0', inference(clausification, [status(esa)], [t6_boole])).
% 21.69/5.53 cnf(c139, plain, ~'m2$urelset$u1'(X0,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X2)) | ~'v1$ufunct$u1'(X3) | ~'v1$ufunct$u2'(X0,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X2)) | ~'v4$ugroup$u1'(X1) | ~'v3$ugroup$u1'(X2) | ~'v4$ugroup$u6'(X3,X2,X1) | ~'v1$ugroup$u6'(X0,X1,X2) | ~'v3$ugroup$u1'(X1) | ~'v4$ugroup$u1'(X2) | ~'l1$ugroup$u1'(X1) | ~'l1$ugroup$u1'(X2) | ~'v1$ufunct$u1'(X0) | 'v4$ugroup$u6'(X0,X1,X2) | 'v3$ustruct$u0'(X2) | 'v3$ustruct$u0'(X1) | X0 != 'k2$ufunct$u1'(X3) | ~'v1$ufunct$u2'(X3,'u1$ustruct$u0'(X2),'u1$ustruct$u0'(X1)) | ~'m2$urelset$u1'(X3,'u1$ustruct$u0'(X2),'u1$ustruct$u0'(X1)) | ~'v1$ugroup$u6'(X3,X2,X1), inference(clausification, [status(esa)], [t73_group_6])).
% 21.69/5.53 cnf(c141, plain, ~'v1$uxboole$u0'(X0) | X0 = X1 | ~'v1$uxboole$u0'(X1), inference(clausification, [status(esa)], [t8_boole])).
% 21.69/5.53 cnf(c142, plain, ~'v3$ustruct$u0'(sK131), inference(clausification, [status(esa)], [negated_conjecture])).
% 21.69/5.53 cnf(c143, plain, 'v1$ugroup$u1'(sK131), inference(clausification, [status(esa)], [negated_conjecture])).
% 21.69/5.53 cnf(c144, plain, 'v3$ugroup$u1'(sK131), inference(clausification, [status(esa)], [negated_conjecture])).
% 21.69/5.53 cnf(c145, plain, 'v4$ugroup$u1'(sK131), inference(clausification, [status(esa)], [negated_conjecture])).
% 21.69/5.53 cnf(c146, plain, 'l1$ugroup$u1'(sK131), inference(clausification, [status(esa)], [negated_conjecture])).
% 21.69/5.53 cnf(c147, plain, 'm2$ufraenkel'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131),'k1$uautgroup'(sK131)), inference(clausification, [status(esa)], [negated_conjecture])).
% 21.69/5.53 cnf(c148, plain, ~'m2$ufraenkel'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131),'k1$uautgroup'(sK131)), inference(clausification, [status(esa)], [negated_conjecture])).
% 21.69/5.53 cnf(d0, plain, ~'v1$uxboole$u0'('k1$uautgroup'(X0)) | ~'l1$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0), inference(resolution, [status(thm)], [c53,c49])).
% 21.69/5.53 cnf(d1, plain, sK80 = 'k1$uxboole$u0', inference(resolution, [status(thm)], [c138,c88])).
% 21.69/5.53 cnf(d2, plain, sK82 = 'k1$uxboole$u0', inference(resolution, [status(thm)], [c138,c91])).
% 21.69/5.53 cnf(d3, plain, sK82 = sK80, inference(demodulation, [status(thm)], [d2,d1])).
% 21.69/5.53 cnf(d4, plain, X0 = sK82 | ~'v1$uxboole$u0'(X0), inference(resolution, [status(thm)], [c141,c91])).
% 21.69/5.53 cnf(d5, plain, X0 = sK80 | ~'v1$uxboole$u0'(X0), inference(demodulation, [status(thm)], [d4,d3])).
% 21.69/5.53 cnf(d6, plain, 'm1$usubset$u1'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'m1$ufraenkel'('k1$uautgroup'(sK131),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c121,c147])).
% 21.69/5.53 cnf(d7, plain, 'm1$usubset$u1'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [d6,c49])).
% 21.69/5.53 cnf(d8, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'm1$usubset$u1'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c142,d7])).
% 21.69/5.53 cnf(d9, plain, ~'l1$ugroup$u1'(sK131) | 'm1$usubset$u1'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c143,d8])).
% 21.69/5.53 cnf(d10, plain, ~'l1$ugroup$u1'(sK131) | 'm1$usubset$u1'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c144,d9])).
% 21.69/5.53 cnf(d11, plain, ~'l1$ugroup$u1'(sK131) | 'm1$usubset$u1'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c145,d10])).
% 21.69/5.53 cnf(d12, plain, 'm1$usubset$u1'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c146,d11])).
% 21.69/5.53 cnf(d13, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('k1$uautgroup'(sK131)), inference(resolution, [status(thm)], [d12,c127])).
% 21.69/5.53 cnf(d14, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'m1$ufraenkel'('k1$uautgroup'(sK131),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c56,c147])).
% 21.69/5.53 cnf(d15, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [d14,c49])).
% 21.69/5.53 cnf(d16, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c142,d15])).
% 21.69/5.53 cnf(d17, plain, ~'l1$ugroup$u1'(sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c143,d16])).
% 21.69/5.53 cnf(d18, plain, ~'l1$ugroup$u1'(sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c144,d17])).
% 21.69/5.53 cnf(d19, plain, ~'l1$ugroup$u1'(sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c145,d18])).
% 21.69/5.53 cnf(d20, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c146,d19])).
% 21.69/5.53 cnf(d21, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'm2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'m1$ufraenkel'('k1$uautgroup'(sK131),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c57,c147])).
% 21.69/5.53 cnf(d22, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'm2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [d21,c49])).
% 21.69/5.53 cnf(d23, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'm2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c142,d22])).
% 21.69/5.53 cnf(d24, plain, ~'l1$ugroup$u1'(sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'm2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c143,d23])).
% 21.69/5.53 cnf(d25, plain, ~'l1$ugroup$u1'(sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u1'(sK131) | 'm2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c144,d24])).
% 21.69/5.53 cnf(d26, plain, ~'l1$ugroup$u1'(sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'm2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c145,d25])).
% 21.69/5.53 cnf(d27, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'm2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c146,d26])).
% 21.69/5.53 cnf(d28, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | ~'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'(sK132) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'(sK132,sK131,sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c131,d27])).
% 21.69/5.53 cnf(d29, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | ~'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c142,d28])).
% 21.69/5.53 cnf(d30, plain, ~'l1$ugroup$u1'(sK131) | ~'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c143,d29])).
% 21.69/5.53 cnf(d31, plain, ~'l1$ugroup$u1'(sK131) | ~'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u1'(sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c144,d30])).
% 21.69/5.53 cnf(d32, plain, ~'l1$ugroup$u1'(sK131) | ~'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c145,d31])).
% 21.69/5.53 cnf(d33, plain, ~'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c146,d32])).
% 21.69/5.53 cnf(d34, plain, 'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'m1$ufraenkel'('k1$uautgroup'(sK131),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c55,c147])).
% 21.69/5.53 cnf(d35, plain, 'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [d34,c49])).
% 21.69/5.53 cnf(d36, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c142,d35])).
% 21.69/5.53 cnf(d37, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c143,d36])).
% 21.69/5.53 cnf(d38, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c144,d37])).
% 21.69/5.53 cnf(d39, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c145,d38])).
% 21.69/5.53 cnf(d40, plain, 'v1$ufunct$u1'(sK132) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c146,d39])).
% 21.69/5.53 cnf(d41, plain, 'v3$ustruct$u0'(sK131) | ~'l1$ustruct$u0'(sK131) | 'v1$ufunct$u1'(sK132), inference(resolution, [status(thm)], [c71,d40])).
% 21.69/5.53 cnf(d42, plain, 'v1$ufunct$u1'(sK132) | ~'l1$ustruct$u0'(sK131), inference(resolution, [status(thm)], [c142,d41])).
% 21.69/5.53 cnf(d43, plain, 'l1$ustruct$u0'(sK131), inference(resolution, [status(thm)], [c52,c146])).
% 21.69/5.53 cnf(d44, plain, 'v1$ufunct$u1'(sK132), inference(resolution, [status(thm)], [d43,d42])).
% 21.69/5.53 cnf(d45, plain, ~'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [d44,d33])).
% 21.69/5.53 cnf(d46, plain, ~'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'(sK132,sK131,sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [d45,d20])).
% 21.69/5.53 cnf(d47, plain, 'v1$ugroup$u6'(sK132,sK131,sK131) | ~'Ts27'(sK131,'k1$uautgroup'(sK131)), inference(resolution, [status(thm)], [c42,c147])).
% 21.69/5.53 cnf(d48, plain, ~'l1$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'m1$ufraenkel'('k1$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | 'Ts27'(X0,'k1$uautgroup'(X0)), inference(equality_resolution, [status(thm)], [c25])).
% 21.69/5.53 cnf(d49, plain, ~'l1$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | 'Ts27'(X0,'k1$uautgroup'(X0)) | ~'l1$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0), inference(resolution, [status(thm)], [d48,c49])).
% 21.69/5.53 cnf(d50, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'v1$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [d49,d47])).
% 21.69/5.53 cnf(d51, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'v1$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c142,d50])).
% 21.69/5.53 cnf(d52, plain, ~'l1$ugroup$u1'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'v1$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c143,d51])).
% 21.69/5.53 cnf(d53, plain, ~'l1$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'v1$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c144,d52])).
% 21.69/5.53 cnf(d54, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c145,d53])).
% 21.69/5.53 cnf(d55, plain, 'v1$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c146,d54])).
% 21.69/5.53 cnf(d56, plain, ~'r2$uhidden'(sK132,'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [d55,d46])).
% 21.69/5.53 cnf(d57, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v4$ugroup$u6'(sK132,sK131,sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$uxboole$u0'('k1$uautgroup'(sK131)), inference(resolution, [status(thm)], [d56,d13])).
% 21.69/5.53 cnf(d58, plain, ~'m1$usubset$u1'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'m1$ufraenkel'('k1$uautgroup'(sK131),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c122,c148])).
% 21.69/5.53 cnf(d59, plain, ~'m1$usubset$u1'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [d58,c49])).
% 21.69/5.53 cnf(d60, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | ~'m1$usubset$u1'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c142,d59])).
% 21.69/5.53 cnf(d61, plain, ~'l1$ugroup$u1'(sK131) | ~'m1$usubset$u1'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c143,d60])).
% 21.69/5.53 cnf(d62, plain, ~'l1$ugroup$u1'(sK131) | ~'m1$usubset$u1'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c144,d61])).
% 21.69/5.53 cnf(d63, plain, ~'l1$ugroup$u1'(sK131) | ~'m1$usubset$u1'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c145,d62])).
% 21.69/5.53 cnf(d64, plain, ~'m1$usubset$u1'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c146,d63])).
% 21.69/5.53 cnf(d65, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'm2$urelset$u1'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c137,c147])).
% 21.69/5.53 cnf(d66, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'm2$urelset$u1'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c142,d65])).
% 21.69/5.53 cnf(d67, plain, ~'l1$ugroup$u1'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'm2$urelset$u1'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c143,d66])).
% 21.69/5.53 cnf(d68, plain, ~'l1$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'm2$urelset$u1'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c144,d67])).
% 21.69/5.53 cnf(d69, plain, ~'l1$ugroup$u1'(sK131) | 'm2$urelset$u1'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c145,d68])).
% 21.69/5.53 cnf(d70, plain, 'm2$urelset$u1'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c146,d69])).
% 21.69/5.53 cnf(d71, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [d70,c132])).
% 21.69/5.53 cnf(d72, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c142,d71])).
% 21.69/5.53 cnf(d73, plain, ~'l1$ugroup$u1'(sK131) | 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c143,d72])).
% 21.69/5.53 cnf(d74, plain, ~'l1$ugroup$u1'(sK131) | 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u1'(sK131) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c144,d73])).
% 21.69/5.53 cnf(d75, plain, ~'l1$ugroup$u1'(sK131) | 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c145,d74])).
% 21.69/5.53 cnf(d76, plain, 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c146,d75])).
% 21.69/5.53 cnf(d77, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c134,c147])).
% 21.69/5.53 cnf(d78, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c142,d77])).
% 21.69/5.53 cnf(d79, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c143,d78])).
% 21.69/5.53 cnf(d80, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c144,d79])).
% 21.69/5.53 cnf(d81, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ufunct$u1'('k2$ufunct$u1'(sK132)), inference(resolution, [status(thm)], [c145,d80])).
% 21.69/5.53 cnf(d82, plain, 'v1$ufunct$u1'('k2$ufunct$u1'(sK132)), inference(resolution, [status(thm)], [c146,d81])).
% 21.69/5.53 cnf(d83, plain, 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [d82,d76])).
% 21.69/5.53 cnf(d84, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c136,c147])).
% 21.69/5.53 cnf(d85, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c142,d84])).
% 21.69/5.53 cnf(d86, plain, ~'l1$ugroup$u1'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c143,d85])).
% 21.69/5.53 cnf(d87, plain, ~'l1$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | 'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c144,d86])).
% 21.69/5.53 cnf(d88, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c145,d87])).
% 21.69/5.53 cnf(d89, plain, 'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [c146,d88])).
% 21.69/5.53 cnf(d90, plain, 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [d89,d83])).
% 21.69/5.53 cnf(d91, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c135,c147])).
% 21.69/5.53 cnf(d92, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c142,d91])).
% 21.69/5.53 cnf(d93, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c143,d92])).
% 21.69/5.53 cnf(d94, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c144,d93])).
% 21.69/5.53 cnf(d95, plain, ~'l1$ugroup$u1'(sK131) | 'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c145,d94])).
% 21.69/5.53 cnf(d96, plain, 'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [c146,d95])).
% 21.69/5.53 cnf(d97, plain, 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)) | ~'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [d96,d90])).
% 21.69/5.53 cnf(d98, plain, ~'l1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X1) | ~'v1$ufunct$u1'('k2$ufunct$u1'(X2)) | ~'v1$ufunct$u1'(X2) | ~'v1$ufunct$u2'('k2$ufunct$u1'(X2),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'v1$ufunct$u2'(X2,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | 'v3$ustruct$u0'(X1) | ~'v3$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X1) | ~'v4$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X1) | ~'m2$urelset$u1'('k2$ufunct$u1'(X2),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'m2$urelset$u1'(X2,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(X2),X0,X1) | ~'v1$ugroup$u6'(X2,X1,X0) | 'v4$ugroup$u6'('k2$ufunct$u1'(X2),X0,X1) | ~'v4$ugroup$u6'(X2,X1,X0), inference(equality_resolution, [status(thm)], [c139])).
% 21.69/5.53 cnf(d99, plain, ~'l1$ugroup$u1'(sK131) | ~'l1$ugroup$u1'(sK131) | ~'v1$ufunct$u1'(sK132) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | 'v3$ustruct$u0'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131), inference(resolution, [status(thm)], [d98,d70])).
% 21.69/5.53 cnf(d100, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u1'(sK132) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c142,d99])).
% 21.69/5.53 cnf(d101, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u1'(sK132) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u1'(sK131) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c144,d100])).
% 21.69/5.53 cnf(d102, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u1'(sK132) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c145,d101])).
% 21.69/5.53 cnf(d103, plain, ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u1'(sK132) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [c146,d102])).
% 21.69/5.53 cnf(d104, plain, ~'v1$ufunct$u1'('k2$ufunct$u1'(sK132)) | ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [d44,d103])).
% 21.69/5.53 cnf(d105, plain, ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [d82,d104])).
% 21.69/5.53 cnf(d106, plain, ~'v1$ufunct$u2'('k2$ufunct$u1'(sK132),'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [d89,d105])).
% 21.69/5.53 cnf(d107, plain, ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'v1$ugroup$u6'(sK132,sK131,sK131) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [d96,d106])).
% 21.69/5.53 cnf(d108, plain, ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | ~'m2$urelset$u1'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131), inference(resolution, [status(thm)], [d55,d107])).
% 21.69/5.53 cnf(d109, plain, ~'v1$ufunct$u2'(sK132,'u1$ustruct$u0'(sK131),'u1$ustruct$u0'(sK131)) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [d108,d27])).
% 21.69/5.53 cnf(d110, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v4$ugroup$u6'('k2$ufunct$u1'(sK132),sK131,sK131) | ~'v4$ugroup$u6'(sK132,sK131,sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [d109,d20])).
% 21.69/5.53 cnf(d111, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u6'(sK132,sK131,sK131) | 'r2$uhidden'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)), inference(resolution, [status(thm)], [d110,d97])).
% 21.69/5.53 cnf(d112, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u6'(sK132,sK131,sK131) | 'm1$usubset$u1'('k2$ufunct$u1'(sK132),'k1$uautgroup'(sK131)), inference(resolution, [status(thm)], [d111,c126])).
% 21.69/5.53 cnf(d113, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | ~'v4$ugroup$u6'(sK132,sK131,sK131) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)), inference(resolution, [status(thm)], [d112,d64])).
% 21.69/5.53 cnf(d114, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'v1$uxboole$u0'('k1$uautgroup'(sK131)), inference(resolution, [status(thm)], [d113,d57])).
% 21.69/5.53 cnf(d115, plain, 'v1$uxboole$u0'('u1$ustruct$u0'(sK131)) | 'k1$uautgroup'(sK131) = sK80, inference(resolution, [status(thm)], [d114,d5])).
% 21.69/5.53 cnf(d116, plain, 'k1$uautgroup'(sK131) = sK80 | 'v3$ustruct$u0'(sK131) | ~'l1$ustruct$u0'(sK131), inference(resolution, [status(thm)], [d115,c71])).
% 21.69/5.53 cnf(d117, plain, 'k1$uautgroup'(sK131) = sK80 | ~'l1$ustruct$u0'(sK131), inference(resolution, [status(thm)], [c142,d116])).
% 21.69/5.53 cnf(d118, plain, 'k1$uautgroup'(sK131) = sK80, inference(resolution, [status(thm)], [d43,d117])).
% 21.69/5.53 cnf(d119, plain, ~'v1$uxboole$u0'(sK80) | ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | 'v3$ustruct$u0'(sK131) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(superposition, [status(thm)], [d118,d0])).
% 21.69/5.53 cnf(d120, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$ugroup$u1'(sK131) | ~'v1$uxboole$u0'(sK80) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c142,d119])).
% 21.69/5.53 cnf(d121, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$uxboole$u0'(sK80) | ~'v3$ugroup$u1'(sK131) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c143,d120])).
% 21.69/5.53 cnf(d122, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$uxboole$u0'(sK80) | ~'v4$ugroup$u1'(sK131), inference(resolution, [status(thm)], [c144,d121])).
% 21.69/5.53 cnf(d123, plain, ~'l1$ugroup$u1'(sK131) | ~'v1$uxboole$u0'(sK80), inference(resolution, [status(thm)], [c145,d122])).
% 21.69/5.53 cnf(d124, plain, ~'v1$uxboole$u0'(sK80), inference(resolution, [status(thm)], [c146,d123])).
% 21.69/5.53 cnf(d125, plain, $false, inference(resolution, [status(thm)], [c88,d124])).
% 21.69/5.53 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------