%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP628+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 07:24:13 AM UTC 2026
% Result : Theorem 20.88s 8.15s
% Output : CNFRefutation 20.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP628+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n009.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Fri Sep 25 15:09:51 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.88/8.15 % SZS status Theorem for theBenchmark.p
% 20.88/8.15 % SZS output start CNFRefutation for theBenchmark.p
% 20.88/8.15 fof(d3_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => 'k3$uautgroup'(X0) = 'g1$ugroup$u1'('k1$uautgroup'(X0),'k2$uautgroup'(X0))))).
% 20.88/8.15 fof(dt_g1_group_1, axiom, ! [X0] : ! [X1] : ((('v1$ufunct$u1'(X1) & ('v1$ufunct$u2'(X1,'k2$uzfmisc$u1'(X0,X0),X0) & 'm1$urelset$u1'(X1,'k2$uzfmisc$u1'(X0,X0),X0))) => ('v1$ugroup$u1'('g1$ugroup$u1'(X0,X1)) & 'l1$ugroup$u1'('g1$ugroup$u1'(X0,X1)))))).
% 20.88/8.15 fof(dt_k2_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ('v1$ufunct$u1'('k2$uautgroup'(X0)) & ('v1$ufunct$u2'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0)) & 'm2$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))))))).
% 20.88/8.15 fof(dt_k3_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => (~'v3$ustruct$u0'('k3$uautgroup'(X0)) & ('v1$ugroup$u1'('k3$uautgroup'(X0)) & ('v3$ugroup$u1'('k3$uautgroup'(X0)) & ('v4$ugroup$u1'('k3$uautgroup'(X0)) & 'l1$ugroup$u1'('k3$uautgroup'(X0))))))))).
% 20.88/8.15 fof(dt_k5_autgroup, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v1$ugroup$u1'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))))) => ('v1$ugroup$u1'('k5$uautgroup'(X0)) & ('v1$ugroup$u3'('k5$uautgroup'(X0),'k3$uautgroup'(X0)) & 'm1$ugroup$u2'('k5$uautgroup'(X0),'k3$uautgroup'(X0))))))).
% 20.88/8.15 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m2$urelset$u1'(X2,X0,X1) <=> 'm1$urelset$u1'(X2,X0,X1)))).
% 20.88/8.15 fof(t11_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)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'('k3$uautgroup'(X0))) => (X1 = X2 => 'k2$ufunct$u1'(X1) = 'k3$ugroup$u1'('k3$uautgroup'(X0),X2))))))))).
% 20.88/8.15 fof(t13_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$u0'(X0),'k4$uautgroup'(X0)) => 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))))))).
% 20.88/8.15 fof(t51_group_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v3$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0))) => ! [X1] : (('m1$ugroup$u2'(X1,X0) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'(X1)) => 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))))))))).
% 20.88/8.15 fof(t57_group_2, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & ('v3$ugroup$u1'(X0) & ('v4$ugroup$u1'(X0) & 'l1$ugroup$u1'(X0)))) => ! [X1] : (('m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) => ! [X2] : (('m1$ugroup$u2'(X2,X0) => ! [X3] : (('m1$usubset$u1'(X3,'u1$ustruct$u0'(X2)) => (X3 = X1 => 'k3$ugroup$u1'(X2,X3) = 'k3$ugroup$u1'(X0,X1))))))))))).
% 20.88/8.15 fof(t22_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$u0'(X0),'k4$uautgroup'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'('k5$uautgroup'(X0))) => (X1 = X2 => 'k2$ufunct$u1'(X1) = 'k3$ugroup$u1'('k5$uautgroup'(X0),X2))))))))).
% 20.88/8.15 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$u0'(X0),'k4$uautgroup'(X0)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'('k5$uautgroup'(X0))) => (X1 = X2 => 'k2$ufunct$u1'(X1) = 'k3$ugroup$u1'('k5$uautgroup'(X0),X2)))))))), inference(negate_conjecture, [status(cth)], [t22_autgroup])).
% 20.88/8.15 cnf(c21, plain, ~'v4$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | 'k3$uautgroup'(X0) = 'g1$ugroup$u1'('k1$uautgroup'(X0),'k2$uautgroup'(X0)) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0), inference(clausification, [status(esa)], [d3_autgroup])).
% 20.88/8.15 cnf(c23, plain, ~'v1$ufunct$u1'(X0) | ~'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | ~'m1$urelset$u1'(X0,'k2$uzfmisc$u1'(X1,X1),X1) | 'l1$ugroup$u1'('g1$ugroup$u1'(X1,X0)), inference(clausification, [status(esa)], [dt_g1_group_1])).
% 20.88/8.15 cnf(c25, plain, ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'l1$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | 'v1$ufunct$u1'('k2$uautgroup'(X0)), inference(clausification, [status(esa)], [dt_k2_autgroup])).
% 20.88/8.15 cnf(c26, plain, 'v1$ufunct$u2'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0)) | ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'l1$ugroup$u1'(X0), inference(clausification, [status(esa)], [dt_k2_autgroup])).
% 20.88/8.15 cnf(c27, plain, ~'v4$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | 'm2$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0)) | ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'l1$ugroup$u1'(X0), inference(clausification, [status(esa)], [dt_k2_autgroup])).
% 20.88/8.15 cnf(c30, plain, ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'v4$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | ~'v3$ugroup$u1'(X0) | X1(X0), inference(clausification, [status(esa)], [dt_k3_autgroup])).
% 20.88/8.15 cnf(c31, plain, ~X0(X1) | ~'v3$ustruct$u0'('k3$uautgroup'(X1)), inference(clausification, [status(esa)], [dt_k3_autgroup])).
% 20.88/8.15 cnf(c33, plain, ~X0(X1) | 'v3$ugroup$u1'('k3$uautgroup'(X1)), inference(clausification, [status(esa)], [dt_k3_autgroup])).
% 20.88/8.15 cnf(c34, plain, ~X0(X1) | 'v4$ugroup$u1'('k3$uautgroup'(X1)), inference(clausification, [status(esa)], [dt_k3_autgroup])).
% 20.88/8.15 cnf(c35, plain, ~X0(X1) | 'l1$ugroup$u1'('k3$uautgroup'(X1)), inference(clausification, [status(esa)], [dt_k3_autgroup])).
% 20.88/8.15 cnf(c40, plain, 'm1$ugroup$u2'('k5$uautgroup'(X0),'k3$uautgroup'(X0)) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_k5_autgroup])).
% 20.88/8.15 cnf(c123, plain, ~'m2$urelset$u1'(X0,X1,X2) | 'm1$urelset$u1'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 20.88/8.15 cnf(c126, plain, ~'m2$ufraenkel'(X0,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),'k1$uautgroup'(X1)) | ~'v4$ugroup$u1'(X1) | 'v3$ustruct$u0'(X1) | ~'l1$ugroup$u1'(X1) | 'k2$ufunct$u1'(X0) = 'k3$ugroup$u1'('k3$uautgroup'(X1),X2) | X0 != X2 | ~'v1$ugroup$u1'(X1) | ~'v3$ugroup$u1'(X1) | ~'m1$usubset$u1'(X2,'u1$ustruct$u0'('k3$uautgroup'(X1))), inference(clausification, [status(esa)], [t11_autgroup])).
% 20.88/8.15 cnf(c127, plain, ~'v1$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'m2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0)) | ~'l1$ugroup$u1'(X0) | 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)) | ~'v3$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0), inference(clausification, [status(esa)], [t13_autgroup])).
% 20.88/8.15 cnf(c133, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | 'v3$ustruct$u0'(X2) | ~'v3$ugroup$u1'(X2) | ~'m1$ugroup$u2'(X1,X2) | 'm1$usubset$u1'(X0,'u1$ustruct$u0'(X2)) | ~'l1$ugroup$u1'(X2), inference(clausification, [status(esa)], [t51_group_2])).
% 20.88/8.15 cnf(c134, plain, ~'m1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) | 'k3$ugroup$u1'(X2,X3) = 'k3$ugroup$u1'(X1,X0) | 'v3$ustruct$u0'(X1) | ~'m1$ugroup$u2'(X2,X1) | ~'v4$ugroup$u1'(X1) | ~'v3$ugroup$u1'(X1) | ~'m1$usubset$u1'(X3,'u1$ustruct$u0'(X2)) | X3 != X0 | ~'l1$ugroup$u1'(X1), inference(clausification, [status(esa)], [t57_group_2])).
% 20.88/8.15 cnf(c139, plain, ~'v3$ustruct$u0'(sK137), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.88/8.15 cnf(c140, plain, 'v1$ugroup$u1'(sK137), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.88/8.15 cnf(c141, plain, 'v3$ugroup$u1'(sK137), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.88/8.15 cnf(c142, plain, 'v4$ugroup$u1'(sK137), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.88/8.15 cnf(c143, plain, 'l1$ugroup$u1'(sK137), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.88/8.15 cnf(c144, plain, 'm2$ufraenkel'(sK138,'u1$ustruct$u0'(sK137),'u1$ustruct$u0'(sK137),'k4$uautgroup'(sK137)), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.88/8.15 cnf(c145, plain, 'm1$usubset$u1'(sK139,'u1$ustruct$u0'('k5$uautgroup'(sK137))), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.88/8.15 cnf(c146, plain, sK138 = sK139, inference(clausification, [status(esa)], [negated_conjecture])).
% 20.88/8.15 cnf(c147, plain, 'k2$ufunct$u1'(sK138) != 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK139), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.88/8.15 cnf(d0, plain, 'm1$usubset$u1'(sK138,'u1$ustruct$u0'('k5$uautgroup'(sK137))), inference(demodulation, [status(thm)], [c145,c146])).
% 20.88/8.15 cnf(d1, plain, ~'l1$ugroup$u1'(X0) | 'm1$usubset$u1'(sK138,'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'('k5$uautgroup'(sK137),X0), inference(resolution, [status(thm)], [c133,d0])).
% 20.88/8.15 cnf(d2, plain, ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | 'm1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | 'v3$ustruct$u0'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [d1,c40])).
% 20.88/8.15 cnf(d3, plain, ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | 'm1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c139,d2])).
% 20.88/8.15 cnf(d4, plain, ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | 'm1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c140,d3])).
% 20.88/8.15 cnf(d5, plain, ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | 'm1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c141,d4])).
% 20.88/8.15 cnf(d6, plain, ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | 'm1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [c142,d5])).
% 20.88/8.15 cnf(d7, plain, ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | 'm1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [c143,d6])).
% 20.88/8.15 cnf(d8, plain, ~'l1$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | 'l1$ugroup$u1'('g1$ugroup$u1'('k1$uautgroup'(X0),'k2$uautgroup'(X0))) | ~'v1$ufunct$u1'('k2$uautgroup'(X0)) | ~'m1$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0)), inference(resolution, [status(thm)], [c26,c23])).
% 20.88/8.15 cnf(d9, plain, 'm1$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0)) | ~'l1$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0), inference(resolution, [status(thm)], [c123,c27])).
% 20.88/8.15 cnf(d10, plain, ~'l1$ugroup$u1'(X0) | ~'v1$ugroup$u1'(X0) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0) | ~'l1$ugroup$u1'(X0) | 'l1$ugroup$u1'('g1$ugroup$u1'('k1$uautgroup'(X0),'k2$uautgroup'(X0))) | ~'v1$ugroup$u1'(X0) | ~'v1$ufunct$u1'('k2$uautgroup'(X0)) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'v4$ugroup$u1'(X0), inference(resolution, [status(thm)], [d9,d8])).
% 20.88/8.15 cnf(d11, plain, 'k3$uautgroup'(sK137) = 'g1$ugroup$u1'('k1$uautgroup'(sK137),'k2$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | 'v3$ustruct$u0'(sK137) | ~'v3$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c21,c142])).
% 20.88/8.15 cnf(d12, plain, 'k3$uautgroup'(sK137) = 'g1$ugroup$u1'('k1$uautgroup'(sK137),'k2$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'v3$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c139,d11])).
% 20.88/8.15 cnf(d13, plain, 'k3$uautgroup'(sK137) = 'g1$ugroup$u1'('k1$uautgroup'(sK137),'k2$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v3$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c140,d12])).
% 20.88/8.15 cnf(d14, plain, 'k3$uautgroup'(sK137) = 'g1$ugroup$u1'('k1$uautgroup'(sK137),'k2$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c141,d13])).
% 20.88/8.15 cnf(d15, plain, 'k3$uautgroup'(sK137) = 'g1$ugroup$u1'('k1$uautgroup'(sK137),'k2$uautgroup'(sK137)), inference(resolution, [status(thm)], [c143,d14])).
% 20.88/8.15 cnf(d16, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'v1$ufunct$u1'('k2$uautgroup'(sK137)) | 'v3$ustruct$u0'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(superposition, [status(thm)], [d15,d10])).
% 20.88/8.15 cnf(d17, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'v1$ufunct$u1'('k2$uautgroup'(sK137)) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c139,d16])).
% 20.88/8.15 cnf(d18, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ufunct$u1'('k2$uautgroup'(sK137)) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c140,d17])).
% 20.88/8.15 cnf(d19, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ufunct$u1'('k2$uautgroup'(sK137)) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c141,d18])).
% 20.88/8.15 cnf(d20, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ufunct$u1'('k2$uautgroup'(sK137)), inference(resolution, [status(thm)], [c142,d19])).
% 20.88/8.15 cnf(d21, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v1$ufunct$u1'('k2$uautgroup'(sK137)), inference(resolution, [status(thm)], [c143,d20])).
% 20.88/8.15 cnf(d22, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | 'v3$ustruct$u0'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [d21,c25])).
% 20.88/8.15 cnf(d23, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c139,d22])).
% 20.88/8.15 cnf(d24, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c140,d23])).
% 20.88/8.15 cnf(d25, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c141,d24])).
% 20.88/8.15 cnf(d26, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c142,d25])).
% 20.88/8.15 cnf(d27, plain, 'l1$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [c143,d26])).
% 20.88/8.15 cnf(d28, plain, 'm1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [d27,d7])).
% 20.88/8.15 cnf(d29, plain, ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | 'v3$ustruct$u0'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137) | 'm2$ufraenkel'(sK138,'u1$ustruct$u0'(sK137),'u1$ustruct$u0'(sK137),'k1$uautgroup'(sK137)), inference(resolution, [status(thm)], [c127,c144])).
% 20.88/8.15 cnf(d30, plain, ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137) | 'm2$ufraenkel'(sK138,'u1$ustruct$u0'(sK137),'u1$ustruct$u0'(sK137),'k1$uautgroup'(sK137)), inference(resolution, [status(thm)], [c139,d29])).
% 20.88/8.15 cnf(d31, plain, ~'l1$ugroup$u1'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137) | 'm2$ufraenkel'(sK138,'u1$ustruct$u0'(sK137),'u1$ustruct$u0'(sK137),'k1$uautgroup'(sK137)), inference(resolution, [status(thm)], [c140,d30])).
% 20.88/8.15 cnf(d32, plain, ~'l1$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137) | 'm2$ufraenkel'(sK138,'u1$ustruct$u0'(sK137),'u1$ustruct$u0'(sK137),'k1$uautgroup'(sK137)), inference(resolution, [status(thm)], [c141,d31])).
% 20.88/8.15 cnf(d33, plain, ~'l1$ugroup$u1'(sK137) | 'm2$ufraenkel'(sK138,'u1$ustruct$u0'(sK137),'u1$ustruct$u0'(sK137),'k1$uautgroup'(sK137)), inference(resolution, [status(thm)], [c142,d32])).
% 20.88/8.15 cnf(d34, plain, 'm2$ufraenkel'(sK138,'u1$ustruct$u0'(sK137),'u1$ustruct$u0'(sK137),'k1$uautgroup'(sK137)), inference(resolution, [status(thm)], [c143,d33])).
% 20.88/8.15 cnf(d35, plain, 'k2$ufunct$u1'(X0) = 'k3$ugroup$u1'('k3$uautgroup'(X1),X0) | ~'l1$ugroup$u1'(X1) | ~'v1$ugroup$u1'(X1) | ~'m1$usubset$u1'(X0,'u1$ustruct$u0'('k3$uautgroup'(X1))) | 'v3$ustruct$u0'(X1) | ~'v3$ugroup$u1'(X1) | ~'v4$ugroup$u1'(X1) | ~'m2$ufraenkel'(X0,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),'k1$uautgroup'(X1)), inference(equality_resolution, [status(thm)], [c126])).
% 20.88/8.15 cnf(d36, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [d35,d34])).
% 20.88/8.15 cnf(d37, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c139,d36])).
% 20.88/8.15 cnf(d38, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'l1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c140,d37])).
% 20.88/8.15 cnf(d39, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'l1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c141,d38])).
% 20.88/8.15 cnf(d40, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'l1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))), inference(resolution, [status(thm)], [c142,d39])).
% 20.88/8.15 cnf(d41, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))), inference(resolution, [status(thm)], [c143,d40])).
% 20.88/8.15 cnf(d42, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [d41,d7])).
% 20.88/8.15 cnf(d43, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'Ts28'(sK137), inference(resolution, [status(thm)], [d42,c33])).
% 20.88/8.15 cnf(d44, plain, ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | 'v3$ustruct$u0'(sK137) | ~'v3$ugroup$u1'(sK137) | 'Ts28'(sK137), inference(resolution, [status(thm)], [c30,c142])).
% 20.88/8.15 cnf(d45, plain, ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'v3$ugroup$u1'(sK137) | 'Ts28'(sK137), inference(resolution, [status(thm)], [c139,d44])).
% 20.88/8.15 cnf(d46, plain, ~'l1$ugroup$u1'(sK137) | ~'v3$ugroup$u1'(sK137) | 'Ts28'(sK137), inference(resolution, [status(thm)], [c140,d45])).
% 20.88/8.15 cnf(d47, plain, ~'l1$ugroup$u1'(sK137) | 'Ts28'(sK137), inference(resolution, [status(thm)], [c141,d46])).
% 20.88/8.15 cnf(d48, plain, 'Ts28'(sK137), inference(resolution, [status(thm)], [c143,d47])).
% 20.88/8.15 cnf(d49, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [d48,d43])).
% 20.88/8.15 cnf(d50, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'Ts28'(sK137), inference(resolution, [status(thm)], [d49,c35])).
% 20.88/8.15 cnf(d51, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [d48,d50])).
% 20.88/8.15 cnf(d52, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'Ts28'(sK137), inference(resolution, [status(thm)], [d51,c31])).
% 20.88/8.15 cnf(d53, plain, 'k2$ufunct$u1'(sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138), inference(resolution, [status(thm)], [d48,d52])).
% 20.88/8.15 cnf(d54, plain, 'k3$ugroup$u1'(X0,X1) = 'k3$ugroup$u1'(X2,X1) | ~'l1$ugroup$u1'(X2) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X2)) | ~'m1$usubset$u1'(X1,'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X2) | ~'v3$ugroup$u1'(X2) | ~'m1$ugroup$u2'(X0,X2) | ~'v4$ugroup$u1'(X2), inference(equality_resolution, [status(thm)], [c134])).
% 20.88/8.15 cnf(d55, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k3$ugroup$u1'(X0,sK138) | ~'l1$ugroup$u1'(X0) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'(X0)) | 'v3$ustruct$u0'(X0) | ~'v3$ugroup$u1'(X0) | ~'m1$ugroup$u2'('k5$uautgroup'(sK137),X0) | ~'v4$ugroup$u1'(X0), inference(resolution, [status(thm)], [d54,d0])).
% 20.88/8.15 cnf(d56, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k3$ugroup$u1'('k3$uautgroup'(sK137),sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | 'v3$ustruct$u0'(sK137) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [d55,c40])).
% 20.88/8.15 cnf(d57, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | 'v3$ustruct$u0'(sK137) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'(sK137), inference(demodulation, [status(thm)], [d56,d53])).
% 20.88/8.15 cnf(d58, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'v1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c139,d57])).
% 20.88/8.15 cnf(d59, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'(sK137) | ~'v4$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c140,d58])).
% 20.88/8.15 cnf(d60, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'(sK137), inference(resolution, [status(thm)], [c141,d59])).
% 20.88/8.15 cnf(d61, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'l1$ugroup$u1'(sK137) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [c142,d60])).
% 20.88/8.15 cnf(d62, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | ~'l1$ugroup$u1'('k3$uautgroup'(sK137)) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [c143,d61])).
% 20.88/8.15 cnf(d63, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | ~'m1$usubset$u1'(sK138,'u1$ustruct$u0'('k3$uautgroup'(sK137))) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [d27,d62])).
% 20.88/8.15 cnf(d64, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'v4$ugroup$u1'('k3$uautgroup'(sK137)) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [d63,d28])).
% 20.88/8.15 cnf(d65, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)) | ~'Ts28'(sK137), inference(resolution, [status(thm)], [d64,c34])).
% 20.88/8.15 cnf(d66, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'v3$ugroup$u1'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [d48,d65])).
% 20.88/8.15 cnf(d67, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)) | ~'Ts28'(sK137), inference(resolution, [status(thm)], [d66,c33])).
% 20.88/8.15 cnf(d68, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | 'v3$ustruct$u0'('k3$uautgroup'(sK137)), inference(resolution, [status(thm)], [d48,d67])).
% 20.88/8.15 cnf(d69, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138) | ~'Ts28'(sK137), inference(resolution, [status(thm)], [d68,c31])).
% 20.88/8.15 cnf(d70, plain, 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138) = 'k2$ufunct$u1'(sK138), inference(resolution, [status(thm)], [d48,d69])).
% 20.88/8.15 cnf(d71, plain, 'k2$ufunct$u1'(sK138) != 'k3$ugroup$u1'('k5$uautgroup'(sK137),sK138), inference(demodulation, [status(thm)], [c147,c146])).
% 20.88/8.15 cnf(d72, plain, 'k2$ufunct$u1'(sK138) != 'k2$ufunct$u1'(sK138), inference(demodulation, [status(thm)], [d71,d70])).
% 20.88/8.15 cnf(d73, plain, $false, inference(equality_resolution, [status(thm)], [d72])).
% 20.88/8.15 % SZS output end CNFRefutation for theBenchmark.p
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