%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU027+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 08:40:46 AM UTC 2026
% Result : Theorem 79.67s 10.57s
% Output : CNFRefutation 79.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU027+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 08:37:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 79.67/10.57 % SZS status Theorem for theBenchmark.p
% 79.67/10.57 % SZS output start CNFRefutation for theBenchmark.p
% 79.67/10.57 fof(d5_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : ((X1 = 'relation$urng'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X3,'relation$udom'(X0)) & X2 = apply(X0,X3)))))))))).
% 79.67/10.57 fof(fc6_relat_1, axiom, ! [X0] : (((~empty(X0) & relation(X0)) => ~empty('relation$urng'(X0))))).
% 79.67/10.57 fof(fc7_relat_1, axiom, ! [X0] : ((empty(X0) => (empty('relation$udom'(X0)) & relation('relation$udom'(X0)))))).
% 79.67/10.57 fof(t1_subset, axiom, ! [X0] : ! [X1] : ((in(X0,X1) => element(X0,X1)))).
% 79.67/10.57 fof(t2_subset, axiom, ! [X0] : ! [X1] : ((element(X0,X1) => (empty(X1) | in(X0,X1))))).
% 79.67/10.57 fof(t54_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ('one$uto$uone'(X0) => ! [X1] : (((relation(X1) & function(X1)) => (X1 = 'function$uinverse'(X0) <=> ('relation$udom'(X1) = 'relation$urng'(X0) & ! [X2] : ! [X3] : ((((in(X2,'relation$urng'(X0)) & X3 = apply(X1,X2)) => (in(X3,'relation$udom'(X0)) & X2 = apply(X0,X3))) & ((in(X3,'relation$udom'(X0)) & X2 = apply(X0,X3)) => (in(X2,'relation$urng'(X0)) & X3 = apply(X1,X2))))))))))))).
% 79.67/10.57 fof(t7_boole, axiom, ! [X0] : ! [X1] : ~((in(X0,X1) & empty(X1)))).
% 79.67/10.57 fof(t60_funct_1, conjecture, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'(X0) & ('relation$udom'(X0) = 'relation$urng'(X1) & ('relation$urng'(X0) = 'relation$udom'(X1) & ! [X2] : ! [X3] : (((in(X2,'relation$udom'(X0)) & in(X3,'relation$udom'(X1))) => (apply(X0,X2) = X3 <=> apply(X1,X3) = X2)))))) => X1 = 'function$uinverse'(X0))))))).
% 79.67/10.57 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((relation(X0) & function(X0)) => ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'(X0) & ('relation$udom'(X0) = 'relation$urng'(X1) & ('relation$urng'(X0) = 'relation$udom'(X1) & ! [X2] : ! [X3] : (((in(X2,'relation$udom'(X0)) & in(X3,'relation$udom'(X1))) => (apply(X0,X2) = X3 <=> apply(X1,X3) = X2)))))) => X1 = 'function$uinverse'(X0)))))), inference(negate_conjecture, [status(cth)], [t60_funct_1])).
% 79.67/10.57 cnf(c6, plain, ~function(X0) | ~relation(X0) | X1(X0), inference(clausification, [status(esa)], [d5_funct_1])).
% 79.67/10.57 cnf(c10, plain, ~X0(X1) | 'relation$urng'(X1) != X2 | ~in(X3,X2) | in(sK11(X1,X3),'relation$udom'(X1)), inference(clausification, [status(esa)], [d5_funct_1])).
% 79.67/10.57 cnf(c12, plain, 'relation$urng'(X0) != X1 | ~in(X2,'relation$udom'(X0)) | in(X3,X1) | ~X4(X0) | apply(X0,X2) != X3, inference(clausification, [status(esa)], [d5_funct_1])).
% 79.67/10.57 cnf(c26, plain, ~relation(X0) | empty(X0) | ~empty('relation$urng'(X0)), inference(clausification, [status(esa)], [fc6_relat_1])).
% 79.67/10.57 cnf(c27, plain, ~empty(X0) | empty('relation$udom'(X0)), inference(clausification, [status(esa)], [fc7_relat_1])).
% 79.67/10.57 cnf(c52, plain, ~in(X0,X1) | element(X0,X1), inference(clausification, [status(esa)], [t1_subset])).
% 79.67/10.57 cnf(c53, plain, ~element(X0,X1) | in(X0,X1) | empty(X1), inference(clausification, [status(esa)], [t2_subset])).
% 79.67/10.57 cnf(c58, plain, ~relation(X0) | apply(X1,sK51(X1,X0)) = sK50(X1,X0) | 'function$uinverse'(X1) = X0 | ~relation(X1) | ~function(X0) | ~'one$uto$uone'(X1) | ~function(X1) | 'relation$urng'(X1) != 'relation$udom'(X0) | X2(X1,X0,sK50(X1,X0),sK51(X1,X0)), inference(clausification, [status(esa)], [t54_funct_1])).
% 79.67/10.57 cnf(c59, plain, ~relation(X0) | 'function$uinverse'(X1) = X0 | ~relation(X1) | ~function(X0) | ~'one$uto$uone'(X1) | ~function(X1) | 'relation$urng'(X1) != 'relation$udom'(X0) | in(sK51(X1,X0),'relation$udom'(X1)) | X2(X1,X0,sK50(X1,X0),sK51(X1,X0)), inference(clausification, [status(esa)], [t54_funct_1])).
% 79.67/10.57 cnf(c60, plain, apply(X0,sK50(X1,X0)) != sK51(X1,X0) | 'function$uinverse'(X1) = X0 | ~relation(X1) | ~function(X0) | ~'one$uto$uone'(X1) | ~function(X1) | 'relation$urng'(X1) != 'relation$udom'(X0) | X2(X1,X0,sK50(X1,X0),sK51(X1,X0)) | ~in(sK50(X1,X0),'relation$urng'(X1)) | ~relation(X0), inference(clausification, [status(esa)], [t54_funct_1])).
% 79.67/10.57 cnf(c66, plain, ~X0(X1,X2,X3,X4) | apply(X2,X3) = X4, inference(clausification, [status(esa)], [t54_funct_1])).
% 79.67/10.57 cnf(c67, plain, ~X0(X1,X2,X3,X4) | in(X3,'relation$urng'(X1)), inference(clausification, [status(esa)], [t54_funct_1])).
% 79.67/10.57 cnf(c68, plain, ~X0(X1,X2,X3,X4) | ~in(X4,'relation$udom'(X1)) | apply(X1,X4) != X3, inference(clausification, [status(esa)], [t54_funct_1])).
% 79.67/10.57 cnf(c71, plain, ~in(X0,X1) | ~empty(X1), inference(clausification, [status(esa)], [t7_boole])).
% 79.67/10.57 cnf(c75, plain, function(sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(c76, plain, relation(sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(c77, plain, function(sK66), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(c78, plain, relation(sK66), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(c79, plain, 'function$uinverse'(sK65) != sK66, inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(c80, plain, 'one$uto$uone'(sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(c81, plain, 'relation$udom'(sK66) = 'relation$urng'(sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(c82, plain, ~in(X0,'relation$udom'(sK66)) | ~in(X1,'relation$udom'(sK65)) | apply(sK65,X1) != X0 | apply(sK66,X0) = X1, inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(c83, plain, ~in(X0,'relation$udom'(sK66)) | ~in(X1,'relation$udom'(sK65)) | apply(sK65,X1) = X0 | apply(sK66,X0) != X1, inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(c84, plain, 'relation$urng'(sK66) = 'relation$udom'(sK65), inference(clausification, [status(esa)], [negated_conjecture])).
% 79.67/10.57 cnf(d0, plain, apply(sK65,apply(sK66,X0)) = X0 | ~in(apply(sK66,X0),'relation$udom'(sK65)) | ~in(X0,'relation$udom'(sK66)), inference(equality_resolution, [status(thm)], [c83])).
% 79.67/10.57 cnf(d1, plain, 'relation$urng'(X0) != X1 | in(apply(X0,X2),X1) | ~in(X2,'relation$udom'(X0)) | ~'Ts6'(X0), inference(equality_resolution, [status(thm)], [c12])).
% 79.67/10.57 cnf(d2, plain, 'relation$udom'(sK65) != X0 | ~in(X1,'relation$udom'(sK66)) | in(apply(sK66,X1),X0) | ~'Ts6'(sK66), inference(superposition, [status(thm)], [c84,d1])).
% 79.67/10.57 cnf(d3, plain, ~function(sK66) | 'Ts6'(sK66), inference(resolution, [status(thm)], [c6,c78])).
% 79.67/10.57 cnf(d4, plain, 'Ts6'(sK66), inference(resolution, [status(thm)], [c77,d3])).
% 79.67/10.57 cnf(d5, plain, 'relation$udom'(sK65) != X0 | ~in(X1,'relation$udom'(sK66)) | in(apply(sK66,X1),X0), inference(resolution, [status(thm)], [d4,d2])).
% 79.67/10.57 cnf(d6, plain, ~in(X0,'relation$udom'(sK66)) | in(apply(sK66,X0),'relation$udom'(sK65)), inference(equality_resolution, [status(thm)], [d5])).
% 79.67/10.57 cnf(d7, plain, ~in(X0,'relation$udom'(sK66)) | apply(sK65,apply(sK66,X0)) = X0 | ~in(X0,'relation$udom'(sK66)), inference(resolution, [status(thm)], [d6,d0])).
% 79.67/10.57 cnf(d8, plain, 'relation$udom'(sK66) != 'relation$udom'(X0) | 'function$uinverse'(sK65) = X0 | in(sK51(sK65,X0),'relation$udom'(sK65)) | ~function(sK65) | ~function(X0) | ~relation(sK65) | ~relation(X0) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,X0,sK50(sK65,X0),sK51(sK65,X0)), inference(superposition, [status(thm)], [c81,c59])).
% 79.67/10.57 cnf(d9, plain, 'relation$udom'(sK66) != 'relation$udom'(X0) | 'function$uinverse'(sK65) = X0 | in(sK51(sK65,X0),'relation$udom'(sK65)) | ~function(X0) | ~relation(X0) | ~relation(sK65) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,X0,sK50(sK65,X0),sK51(sK65,X0)), inference(resolution, [status(thm)], [c75,d8])).
% 79.67/10.57 cnf(d10, plain, 'relation$udom'(sK66) != 'relation$udom'(X0) | 'function$uinverse'(sK65) = X0 | in(sK51(sK65,X0),'relation$udom'(sK65)) | ~function(X0) | ~relation(X0) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,X0,sK50(sK65,X0),sK51(sK65,X0)), inference(resolution, [status(thm)], [c76,d9])).
% 79.67/10.57 cnf(d11, plain, 'relation$udom'(sK66) != 'relation$udom'(X0) | 'function$uinverse'(sK65) = X0 | in(sK51(sK65,X0),'relation$udom'(sK65)) | ~function(X0) | ~relation(X0) | 'Ts47'(sK65,X0,sK50(sK65,X0),sK51(sK65,X0)), inference(resolution, [status(thm)], [c80,d10])).
% 79.67/10.57 cnf(d12, plain, 'function$uinverse'(sK65) = sK66 | in(sK51(sK65,sK66),'relation$udom'(sK65)) | ~function(sK66) | ~relation(sK66) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(equality_resolution, [status(thm)], [d11])).
% 79.67/10.57 cnf(d13, plain, 'function$uinverse'(sK65) = sK66 | in(sK51(sK65,sK66),'relation$udom'(sK65)) | ~relation(sK66) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c77,d12])).
% 79.67/10.57 cnf(d14, plain, 'function$uinverse'(sK65) = sK66 | in(sK51(sK65,sK66),'relation$udom'(sK65)) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c78,d13])).
% 79.67/10.57 cnf(d15, plain, in(sK51(sK65,sK66),'relation$udom'(sK65)) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c79,d14])).
% 79.67/10.57 cnf(d16, plain, in(sK50(sK65,sK66),'relation$urng'(sK65)) | in(sK51(sK65,sK66),'relation$udom'(sK65)), inference(resolution, [status(thm)], [c67,d15])).
% 79.67/10.57 cnf(d17, plain, in(sK50(sK65,sK66),'relation$udom'(sK66)) | in(sK51(sK65,sK66),'relation$udom'(sK65)), inference(demodulation, [status(thm)], [d16,c81])).
% 79.67/10.57 cnf(d18, plain, 'relation$udom'(sK66) != X0 | ~in(X1,'relation$udom'(sK65)) | in(apply(sK65,X1),X0) | ~'Ts6'(sK65), inference(superposition, [status(thm)], [c81,d1])).
% 79.67/10.57 cnf(d19, plain, ~function(sK65) | 'Ts6'(sK65), inference(resolution, [status(thm)], [c6,c76])).
% 79.67/10.57 cnf(d20, plain, 'Ts6'(sK65), inference(resolution, [status(thm)], [c75,d19])).
% 79.67/10.57 cnf(d21, plain, 'relation$udom'(sK66) != X0 | ~in(X1,'relation$udom'(sK65)) | in(apply(sK65,X1),X0), inference(resolution, [status(thm)], [d20,d18])).
% 79.67/10.57 cnf(d22, plain, ~in(X0,'relation$udom'(sK65)) | in(apply(sK65,X0),'relation$udom'(sK66)), inference(equality_resolution, [status(thm)], [d21])).
% 79.67/10.57 cnf(d23, plain, 'relation$udom'(sK66) != 'relation$udom'(X0) | apply(sK65,sK51(sK65,X0)) = sK50(sK65,X0) | 'function$uinverse'(sK65) = X0 | ~function(sK65) | ~function(X0) | ~relation(sK65) | ~relation(X0) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,X0,sK50(sK65,X0),sK51(sK65,X0)), inference(superposition, [status(thm)], [c81,c58])).
% 79.67/10.57 cnf(d24, plain, 'relation$udom'(sK66) != 'relation$udom'(X0) | apply(sK65,sK51(sK65,X0)) = sK50(sK65,X0) | 'function$uinverse'(sK65) = X0 | ~function(X0) | ~relation(X0) | ~relation(sK65) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,X0,sK50(sK65,X0),sK51(sK65,X0)), inference(resolution, [status(thm)], [c75,d23])).
% 79.67/10.57 cnf(d25, plain, 'relation$udom'(sK66) != 'relation$udom'(X0) | apply(sK65,sK51(sK65,X0)) = sK50(sK65,X0) | 'function$uinverse'(sK65) = X0 | ~function(X0) | ~relation(X0) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,X0,sK50(sK65,X0),sK51(sK65,X0)), inference(resolution, [status(thm)], [c76,d24])).
% 79.67/10.57 cnf(d26, plain, 'relation$udom'(sK66) != 'relation$udom'(X0) | apply(sK65,sK51(sK65,X0)) = sK50(sK65,X0) | 'function$uinverse'(sK65) = X0 | ~function(X0) | ~relation(X0) | 'Ts47'(sK65,X0,sK50(sK65,X0),sK51(sK65,X0)), inference(resolution, [status(thm)], [c80,d25])).
% 79.67/10.57 cnf(d27, plain, apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66) | 'function$uinverse'(sK65) = sK66 | ~function(sK66) | ~relation(sK66) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(equality_resolution, [status(thm)], [d26])).
% 79.67/10.57 cnf(d28, plain, apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66) | 'function$uinverse'(sK65) = sK66 | ~relation(sK66) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c77,d27])).
% 79.67/10.57 cnf(d29, plain, apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66) | 'function$uinverse'(sK65) = sK66 | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c78,d28])).
% 79.67/10.57 cnf(d30, plain, apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c79,d29])).
% 79.67/10.57 cnf(d31, plain, in(sK50(sK65,sK66),'relation$urng'(sK65)) | apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66), inference(resolution, [status(thm)], [c67,d30])).
% 79.67/10.57 cnf(d32, plain, apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66) | in(sK50(sK65,sK66),'relation$udom'(sK66)), inference(demodulation, [status(thm)], [d31,c81])).
% 79.67/10.57 cnf(d33, plain, apply(sK65,apply(sK66,sK50(sK65,sK66))) = sK50(sK65,sK66) | apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66), inference(resolution, [status(thm)], [d7,d32])).
% 79.67/10.57 cnf(d34, plain, apply(sK66,sK50(sK65,sK66)) = sK51(sK65,sK66) | apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66), inference(resolution, [status(thm)], [c66,d30])).
% 79.67/10.57 cnf(d35, plain, apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66) | apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66) | apply(sK65,sK51(sK65,sK66)) = sK50(sK65,sK66), inference(superposition, [status(thm)], [d34,d33])).
% 79.67/10.57 cnf(d36, plain, in(sK50(sK65,sK66),'relation$udom'(sK66)) | ~in(sK51(sK65,sK66),'relation$udom'(sK65)), inference(superposition, [status(thm)], [d35,d22])).
% 79.67/10.57 cnf(d37, plain, in(sK50(sK65,sK66),'relation$udom'(sK66)) | in(sK50(sK65,sK66),'relation$udom'(sK66)), inference(resolution, [status(thm)], [d36,d17])).
% 79.67/10.57 cnf(d38, plain, apply(sK65,apply(sK66,sK50(sK65,sK66))) = sK50(sK65,sK66), inference(resolution, [status(thm)], [d37,d7])).
% 79.67/10.57 cnf(d39, plain, apply(sK66,apply(sK65,X0)) = X0 | ~in(apply(sK65,X0),'relation$udom'(sK66)) | ~in(X0,'relation$udom'(sK65)), inference(equality_resolution, [status(thm)], [c82])).
% 79.67/10.57 cnf(d40, plain, ~in(X0,'relation$udom'(sK65)) | apply(sK66,apply(sK65,X0)) = X0 | ~in(X0,'relation$udom'(sK65)), inference(resolution, [status(thm)], [d22,d39])).
% 79.67/10.57 cnf(d41, plain, apply(sK66,apply(sK65,apply(sK66,X0))) = apply(sK66,X0) | ~in(X0,'relation$udom'(sK66)), inference(resolution, [status(thm)], [d40,d6])).
% 79.67/10.57 cnf(d42, plain, apply(sK66,apply(sK65,apply(sK66,sK50(sK65,sK66)))) = apply(sK66,sK50(sK65,sK66)), inference(resolution, [status(thm)], [d37,d41])).
% 79.67/10.57 cnf(d43, plain, apply(sK66,sK50(sK65,sK66)) = apply(sK66,sK50(sK65,sK66)), inference(demodulation, [status(thm)], [d42,d38])).
% 79.67/10.57 cnf(d44, plain, apply(sK66,sK50(sK65,sK66)) = sK51(sK65,sK66) | in(sK51(sK65,sK66),'relation$udom'(sK65)), inference(resolution, [status(thm)], [c66,d15])).
% 79.67/10.57 cnf(d45, plain, apply(sK66,apply(sK65,sK51(sK65,sK66))) = sK51(sK65,sK66) | apply(sK66,sK50(sK65,sK66)) = sK51(sK65,sK66), inference(resolution, [status(thm)], [d40,d44])).
% 79.67/10.57 cnf(d46, plain, apply(sK66,sK50(sK65,sK66)) = sK51(sK65,sK66) | apply(sK66,sK50(sK65,sK66)) = sK51(sK65,sK66), inference(demodulation, [status(thm)], [d45,d35])).
% 79.67/10.57 cnf(d47, plain, apply(sK66,sK50(sK65,sK66)) = sK51(sK65,sK66) | apply(sK66,sK50(sK65,sK66)) = sK51(sK65,sK66), inference(superposition, [status(thm)], [d46,d43])).
% 79.67/10.57 cnf(d48, plain, sK51(sK65,sK66) != sK51(sK65,sK66) | 'relation$urng'(sK65) != 'relation$udom'(sK66) | 'function$uinverse'(sK65) = sK66 | ~in(sK50(sK65,sK66),'relation$urng'(sK65)) | ~function(sK65) | ~function(sK66) | ~relation(sK65) | ~relation(sK66) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(superposition, [status(thm)], [d47,c60])).
% 79.67/10.57 cnf(d49, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | 'function$uinverse'(sK65) = sK66 | sK51(sK65,sK66) != sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$urng'(sK65)) | ~function(sK65) | ~function(sK66) | ~relation(sK65) | ~relation(sK66) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(demodulation, [status(thm)], [d48,c81])).
% 79.67/10.57 cnf(d50, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | 'function$uinverse'(sK65) = sK66 | sK51(sK65,sK66) != sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)) | ~function(sK65) | ~function(sK66) | ~relation(sK65) | ~relation(sK66) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(demodulation, [status(thm)], [d49,c81])).
% 79.67/10.57 cnf(d51, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | 'function$uinverse'(sK65) = sK66 | sK51(sK65,sK66) != sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)) | ~function(sK66) | ~relation(sK65) | ~relation(sK66) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c75,d50])).
% 79.67/10.57 cnf(d52, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | 'function$uinverse'(sK65) = sK66 | sK51(sK65,sK66) != sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)) | ~function(sK66) | ~relation(sK66) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c76,d51])).
% 79.67/10.57 cnf(d53, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | 'function$uinverse'(sK65) = sK66 | sK51(sK65,sK66) != sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)) | ~relation(sK66) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c77,d52])).
% 79.67/10.57 cnf(d54, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | 'function$uinverse'(sK65) = sK66 | sK51(sK65,sK66) != sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)) | ~'one$uto$uone'(sK65) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c78,d53])).
% 79.67/10.57 cnf(d55, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | 'function$uinverse'(sK65) = sK66 | sK51(sK65,sK66) != sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c80,d54])).
% 79.67/10.57 cnf(d56, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | sK51(sK65,sK66) != sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [c79,d55])).
% 79.67/10.57 cnf(d57, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | sK51(sK65,sK66) != sK51(sK65,sK66) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [d37,d56])).
% 79.67/10.57 cnf(d58, plain, sK50(sK65,sK66) != X0 | apply(sK66,X0) = sK51(sK65,sK66) | ~in(X0,'relation$udom'(sK66)) | ~in(sK51(sK65,sK66),'relation$udom'(sK65)), inference(superposition, [status(thm)], [d35,c82])).
% 79.67/10.57 cnf(d59, plain, ~in(X0,'relation$udom'(sK66)) | element(apply(sK66,X0),'relation$udom'(sK65)), inference(resolution, [status(thm)], [d6,c52])).
% 79.67/10.57 cnf(d60, plain, element(sK51(sK65,sK66),'relation$udom'(sK65)) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)), inference(superposition, [status(thm)], [d47,d59])).
% 79.67/10.57 cnf(d61, plain, element(sK51(sK65,sK66),'relation$udom'(sK65)), inference(resolution, [status(thm)], [d37,d60])).
% 79.67/10.57 cnf(d62, plain, in(sK51(sK65,sK66),'relation$udom'(sK65)) | empty('relation$udom'(sK65)), inference(resolution, [status(thm)], [d61,c53])).
% 79.67/10.57 cnf(d63, plain, ~empty('relation$udom'(sK65)) | empty(sK66) | ~relation(sK66), inference(superposition, [status(thm)], [c84,c26])).
% 79.67/10.57 cnf(d64, plain, ~empty('relation$udom'(sK65)) | empty(sK66), inference(resolution, [status(thm)], [c78,d63])).
% 79.67/10.57 cnf(d65, plain, 'relation$udom'(sK65) != X0 | ~in(X1,X0) | in(sK11(sK66,X1),'relation$udom'(sK66)) | ~'Ts6'(sK66), inference(superposition, [status(thm)], [c84,c10])).
% 79.67/10.57 cnf(d66, plain, 'relation$udom'(sK65) != X0 | ~in(X1,X0) | in(sK11(sK66,X1),'relation$udom'(sK66)), inference(resolution, [status(thm)], [d4,d65])).
% 79.67/10.57 cnf(d67, plain, ~in(X0,'relation$udom'(sK65)) | in(sK11(sK66,X0),'relation$udom'(sK66)), inference(equality_resolution, [status(thm)], [d66])).
% 79.67/10.57 cnf(d68, plain, ~empty('relation$udom'(sK66)) | ~in(X0,'relation$udom'(sK65)), inference(resolution, [status(thm)], [c71,d67])).
% 79.67/10.57 cnf(d69, plain, in(sK50(sK65,sK66),'relation$udom'(sK66)) | ~empty('relation$udom'(sK66)), inference(resolution, [status(thm)], [d17,d68])).
% 79.67/10.57 cnf(d70, plain, ~empty('relation$udom'(sK66)) | ~empty('relation$udom'(sK66)), inference(resolution, [status(thm)], [d69,c71])).
% 79.67/10.57 cnf(d71, plain, ~empty(sK66), inference(resolution, [status(thm)], [d70,c27])).
% 79.67/10.57 cnf(d72, plain, ~empty('relation$udom'(sK65)), inference(resolution, [status(thm)], [d71,d64])).
% 79.67/10.57 cnf(d73, plain, in(sK51(sK65,sK66),'relation$udom'(sK65)), inference(resolution, [status(thm)], [d72,d62])).
% 79.67/10.57 cnf(d74, plain, apply(sK66,X0) = sK51(sK65,sK66) | sK50(sK65,sK66) != X0 | ~in(X0,'relation$udom'(sK66)), inference(resolution, [status(thm)], [d73,d58])).
% 79.67/10.57 cnf(d75, plain, apply(sK66,sK50(sK65,sK66)) = sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)), inference(equality_resolution, [status(thm)], [d74])).
% 79.67/10.57 cnf(d76, plain, sK51(sK65,sK66) = sK51(sK65,sK66) | ~in(sK50(sK65,sK66),'relation$udom'(sK66)), inference(demodulation, [status(thm)], [d75,d47])).
% 79.67/10.57 cnf(d77, plain, sK51(sK65,sK66) = sK51(sK65,sK66), inference(resolution, [status(thm)], [d37,d76])).
% 79.67/10.57 cnf(d78, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66) | 'Ts47'(sK65,sK66,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [d77,d57])).
% 79.67/10.57 cnf(d79, plain, sK50(sK65,sK66) != X0 | ~in(sK51(sK65,sK66),'relation$udom'(sK65)) | ~'Ts47'(sK65,X1,X0,sK51(sK65,sK66)), inference(superposition, [status(thm)], [d35,c68])).
% 79.67/10.57 cnf(d80, plain, ~in(sK51(sK65,sK66),'relation$udom'(sK65)) | ~'Ts47'(sK65,X0,sK50(sK65,sK66),sK51(sK65,sK66)), inference(equality_resolution, [status(thm)], [d79])).
% 79.67/10.57 cnf(d81, plain, ~'Ts47'(sK65,X0,sK50(sK65,sK66),sK51(sK65,sK66)), inference(resolution, [status(thm)], [d73,d80])).
% 79.67/10.57 cnf(d82, plain, 'relation$udom'(sK66) != 'relation$udom'(sK66), inference(resolution, [status(thm)], [d81,d78])).
% 79.67/10.57 cnf(d83, plain, $false, inference(equality_resolution, [status(thm)], [d82])).
% 79.67/10.57 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------