↑ Up

LisaST---0.9.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SEU407+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 : n010.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 08:41:54 AM UTC 2026

% Result   : Theorem 22.63s 4.94s
% Output   : CNFRefutation 22.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU407+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n010.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 09:28:16 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.63/4.94  % SZS status Theorem for theBenchmark.p
% 22.63/4.94  % SZS output start CNFRefutation for theBenchmark.p
% 22.63/4.94  fof(abstractness_v1_orders_2, axiom, ! [X0] : (('l1$uorders$u2'(X0) => ('v1$uorders$u2'(X0) => X0 = 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)))))).
% 22.63/4.94  fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0)).
% 22.63/4.94  fof(d2_latsum_1, axiom, ! [X0] : (('l1$uorders$u2'(X0) => ! [X1] : (('l1$uorders$u2'(X1) => ! [X2] : ((('v1$uorders$u2'(X2) & 'l1$uorders$u2'(X2)) => (X2 = 'k1$ulatsum$u1'(X0,X1) <=> ('u1$ustruct$u0'(X2) = 'k2$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) & 'u1$uorders$u2'(X2) = 'k2$uxboole$u0'('k2$uxboole$u0'('u1$uorders$u2'(X0),'u1$uorders$u2'(X1)),'k7$urelset$u1'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),'u1$uorders$u2'(X0),'u1$uorders$u2'(X1)))))))))))).
% 22.63/4.94  fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'k2$uxboole$u0'(X0,X1) <=> ! [X3] : (('r2$uhidden'(X3,X2) <=> ('r2$uhidden'(X3,X0) | 'r2$uhidden'(X3,X1))))))).
% 22.63/4.94  fof(dt_g1_orders_2, axiom, ! [X0] : ! [X1] : (('m1$urelset$u1'(X1,X0,X0) => ('v1$uorders$u2'('g1$uorders$u2'(X0,X1)) & 'l1$uorders$u2'('g1$uorders$u2'(X0,X1)))))).
% 22.63/4.94  fof(dt_k1_latsum_1, axiom, ! [X0] : ! [X1] : ((('l1$uorders$u2'(X0) & 'l1$uorders$u2'(X1)) => ('v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)) & 'l1$uorders$u2'('k1$ulatsum$u1'(X0,X1)))))).
% 22.63/4.94  fof(dt_l1_orders_2, axiom, ! [X0] : (('l1$uorders$u2'(X0) => 'l1$ustruct$u0'(X0)))).
% 22.63/4.94  fof(dt_u1_orders_2, axiom, ! [X0] : (('l1$uorders$u2'(X0) => 'm2$urelset$u1'('u1$uorders$u2'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))))).
% 22.63/4.94  fof(fc1_latsum_1, axiom, ! [X0] : ! [X1] : ((('l1$uorders$u2'(X0) & (~'v3$ustruct$u0'(X1) & 'l1$uorders$u2'(X1))) => (~'v3$ustruct$u0'('k1$ulatsum$u1'(X0,X1)) & 'v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)))))).
% 22.63/4.94  fof(fc1_struct_0, axiom, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l1$ustruct$u0'(X0)) => ~'v1$uxboole$u0'('u1$ustruct$u0'(X0))))).
% 22.63/4.94  fof(fc2_xboole_0, axiom, ! [X0] : ! [X1] : ((~'v1$uxboole$u0'(X0) => ~'v1$uxboole$u0'('k2$uxboole$u0'(X0,X1))))).
% 22.63/4.94  fof(idempotence_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'k2$uxboole$u0'(X0,X0) = X0).
% 22.63/4.94  fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('m2$urelset$u1'(X2,X0,X1) <=> 'm1$urelset$u1'(X2,X0,X1)))).
% 22.63/4.94  fof(t2_subset, axiom, ! [X0] : ! [X1] : (('m1$usubset$u1'(X0,X1) => ('v1$uxboole$u0'(X1) | 'r2$uhidden'(X0,X1))))).
% 22.63/4.94  fof(t39_xboole_1, axiom, ! [X0] : ! [X1] : 'k2$uxboole$u0'(X0,'k4$uxboole$u0'(X1,X0)) = 'k2$uxboole$u0'(X0,X1)).
% 22.63/4.94  fof(t7_latsum_1, conjecture, ! [X0] : (((~'v3$ustruct$u0'(X0) & 'l1$uorders$u2'(X0)) => ! [X1] : (((~'v3$ustruct$u0'(X1) & 'l1$uorders$u2'(X1)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1))) => ('r2$uhidden'(X2,'u1$ustruct$u0'(X0)) | 'r2$uhidden'(X2,'k4$uxboole$u0'('u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0))))))))))).
% 22.63/4.94  fof(negated_conjecture, negated_conjecture, ~! [X0] : (((~'v3$ustruct$u0'(X0) & 'l1$uorders$u2'(X0)) => ! [X1] : (((~'v3$ustruct$u0'(X1) & 'l1$uorders$u2'(X1)) => ! [X2] : (('m1$usubset$u1'(X2,'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1))) => ('r2$uhidden'(X2,'u1$ustruct$u0'(X0)) | 'r2$uhidden'(X2,'k4$uxboole$u0'('u1$ustruct$u0'(X1),'u1$ustruct$u0'(X0)))))))))), inference(negate_conjecture, [status(cth)], [t7_latsum_1])).
% 22.63/4.94  cnf(c0, plain, ~'l1$uorders$u2'(X0) | ~'v1$uorders$u2'(X0) | X0 = 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)), inference(clausification, [status(esa)], [abstractness_v1_orders_2])).
% 22.63/4.94  cnf(c3, plain, 'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])).
% 22.63/4.94  cnf(c4, plain, ~'l1$uorders$u2'(X0) | 'u1$ustruct$u0'(X0) = 'k2$uxboole$u0'('u1$ustruct$u0'(X1),'u1$ustruct$u0'(X2)) | ~'v1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1) | ~'l1$uorders$u2'(X2) | X0 != 'k1$ulatsum$u1'(X1,X2), inference(clausification, [status(esa)], [d2_latsum_1])).
% 22.63/4.94  cnf(c7, plain, X0 != 'k2$uxboole$u0'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 22.63/4.94  cnf(c9, plain, ~X0(X1,X2,X3) | ~'r2$uhidden'(X4,X3) | 'r2$uhidden'(X4,X1) | 'r2$uhidden'(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 22.63/4.94  cnf(c18, plain, ~'m1$urelset$u1'(X0,X1,X1) | 'v1$uorders$u2'('g1$uorders$u2'(X1,X0)), inference(clausification, [status(esa)], [dt_g1_orders_2])).
% 22.63/4.94  cnf(c20, plain, ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1) | 'v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)), inference(clausification, [status(esa)], [dt_k1_latsum_1])).
% 22.63/4.94  cnf(c21, plain, ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1) | 'l1$uorders$u2'('k1$ulatsum$u1'(X0,X1)), inference(clausification, [status(esa)], [dt_k1_latsum_1])).
% 22.63/4.94  cnf(c24, plain, ~'l1$uorders$u2'(X0) | 'l1$ustruct$u0'(X0), inference(clausification, [status(esa)], [dt_l1_orders_2])).
% 22.63/4.94  cnf(c26, plain, ~'l1$uorders$u2'(X0) | 'm2$urelset$u1'('u1$uorders$u2'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [dt_u1_orders_2])).
% 22.63/4.94  cnf(c32, plain, ~'l1$uorders$u2'(X0) | 'v3$ustruct$u0'(X1) | ~'l1$uorders$u2'(X1) | ~'v3$ustruct$u0'('k1$ulatsum$u1'(X0,X1)), inference(clausification, [status(esa)], [fc1_latsum_1])).
% 22.63/4.94  cnf(c34, plain, 'v3$ustruct$u0'(X0) | ~'l1$ustruct$u0'(X0) | ~'v1$uxboole$u0'('u1$ustruct$u0'(X0)), inference(clausification, [status(esa)], [fc1_struct_0])).
% 22.63/4.94  cnf(c38, plain, 'v1$uxboole$u0'(X0) | ~'v1$uxboole$u0'('k2$uxboole$u0'(X0,X1)), inference(clausification, [status(esa)], [fc2_xboole_0])).
% 22.63/4.94  cnf(c42, plain, 'k2$uxboole$u0'(X0,X0) = X0, inference(clausification, [status(esa)], [idempotence_k2_xboole_0])).
% 22.63/4.94  cnf(c50, plain, ~'m2$urelset$u1'(X0,X1,X2) | 'm1$urelset$u1'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 22.63/4.94  cnf(c55, plain, ~'m1$usubset$u1'(X0,X1) | 'v1$uxboole$u0'(X1) | 'r2$uhidden'(X0,X1), inference(clausification, [status(esa)], [t2_subset])).
% 22.63/4.94  cnf(c56, plain, 'k2$uxboole$u0'(X0,'k4$uxboole$u0'(X1,X0)) = 'k2$uxboole$u0'(X0,X1), inference(clausification, [status(esa)], [t39_xboole_1])).
% 22.63/4.94  cnf(c66, plain, ~'v3$ustruct$u0'(sK97), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.63/4.94  cnf(c67, plain, 'l1$uorders$u2'(sK97), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.63/4.94  cnf(c69, plain, 'l1$uorders$u2'(sK98), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.63/4.94  cnf(c70, plain, 'm1$usubset$u1'(sK99,'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98))), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.63/4.94  cnf(c71, plain, ~'r2$uhidden'(sK99,'u1$ustruct$u0'(sK97)), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.63/4.94  cnf(c72, plain, ~'r2$uhidden'(sK99,'k4$uxboole$u0'('u1$ustruct$u0'(sK98),'u1$ustruct$u0'(sK97))), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.63/4.94  cnf(d0, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)) = 'k2$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'('k1$ulatsum$u1'(X0,X1)) | ~'l1$uorders$u2'(X1), inference(equality_resolution, [status(thm)], [c4])).
% 22.63/4.94  cnf(d1, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)) = 'k2$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)) | ~'l1$uorders$u2'(X1) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1), inference(resolution, [status(thm)], [d0,c21])).
% 22.63/4.94  cnf(d2, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)) = 'k2$uxboole$u0'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X1)) | ~'l1$uorders$u2'(X1) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1), inference(resolution, [status(thm)], [d1,c20])).
% 22.63/4.94  cnf(d3, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,X0)) = 'k2$uxboole$u0'('u1$ustruct$u0'(sK97),'u1$ustruct$u0'(X0)) | ~'l1$uorders$u2'(X0), inference(resolution, [status(thm)], [d2,c67])).
% 22.63/4.94  cnf(d4, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98)) = 'k2$uxboole$u0'('u1$ustruct$u0'(sK97),'u1$ustruct$u0'(sK98)), inference(resolution, [status(thm)], [d3,c69])).
% 22.63/4.94  cnf(d5, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK98,X0)) = 'k2$uxboole$u0'('u1$ustruct$u0'(sK98),'u1$ustruct$u0'(X0)) | ~'l1$uorders$u2'(X0), inference(resolution, [status(thm)], [d2,c69])).
% 22.63/4.94  cnf(d6, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK98,sK97)) = 'k2$uxboole$u0'('u1$ustruct$u0'(sK98),'u1$ustruct$u0'(sK97)), inference(resolution, [status(thm)], [d5,c67])).
% 22.63/4.94  cnf(d7, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK98,sK97)) = 'k2$uxboole$u0'('u1$ustruct$u0'(sK97),'u1$ustruct$u0'(sK98)), inference(demodulation, [status(thm)], [d6,c3])).
% 22.63/4.94  cnf(d8, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK98,sK97)) = 'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98)), inference(demodulation, [status(thm)], [d7,d4])).
% 22.63/4.94  cnf(d9, plain, 'Ts11'(X0,X1,'k2$uxboole$u0'(X0,X1)), inference(equality_resolution, [status(thm)], [c7])).
% 22.63/4.94  cnf(d10, plain, ~'r2$uhidden'(X0,'k2$uxboole$u0'(X1,X2)) | 'r2$uhidden'(X0,X2) | 'r2$uhidden'(X0,X1), inference(resolution, [status(thm)], [d9,c9])).
% 22.63/4.94  cnf(d11, plain, ~'r2$uhidden'(X2,'k2$uxboole$u0'(X0,X1)) | 'r2$uhidden'(X2,'k4$uxboole$u0'(X1,X0)) | 'r2$uhidden'(X2,X0), inference(superposition, [status(thm)], [c56,d10])).
% 22.63/4.94  cnf(d12, plain, ~'r2$uhidden'(X0,'u1$ustruct$u0'('k1$ulatsum$u1'(sK98,sK97))) | 'r2$uhidden'(X0,'u1$ustruct$u0'(sK97)) | 'r2$uhidden'(X0,'k4$uxboole$u0'('u1$ustruct$u0'(sK98),'u1$ustruct$u0'(sK97))), inference(superposition, [status(thm)], [d7,d11])).
% 22.63/4.94  cnf(d13, plain, ~'r2$uhidden'(X0,'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98))) | 'r2$uhidden'(X0,'u1$ustruct$u0'(sK97)) | 'r2$uhidden'(X0,'k4$uxboole$u0'('u1$ustruct$u0'(sK98),'u1$ustruct$u0'(sK97))), inference(demodulation, [status(thm)], [d12,d8])).
% 22.63/4.94  cnf(d14, plain, ~'r2$uhidden'(sK99,'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98))) | 'r2$uhidden'(sK99,'u1$ustruct$u0'(sK97)), inference(resolution, [status(thm)], [d13,c72])).
% 22.63/4.94  cnf(d15, plain, ~'r2$uhidden'(sK99,'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98))), inference(resolution, [status(thm)], [c71,d14])).
% 22.63/4.94  cnf(d16, plain, 'r2$uhidden'(sK99,'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98))) | 'v1$uxboole$u0'('u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98))), inference(resolution, [status(thm)], [c55,c70])).
% 22.63/4.94  cnf(d17, plain, ~'v1$uxboole$u0'('u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98))) | 'v1$uxboole$u0'('u1$ustruct$u0'(sK97)), inference(superposition, [status(thm)], [d4,c38])).
% 22.63/4.94  cnf(d18, plain, ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1) | 'l1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)), inference(resolution, [status(thm)], [c21,c24])).
% 22.63/4.94  cnf(d19, plain, 'm1$urelset$u1'('u1$uorders$u2'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) | ~'l1$uorders$u2'(X0), inference(resolution, [status(thm)], [c50,c26])).
% 22.63/4.94  cnf(d20, plain, ~'l1$uorders$u2'(X0) | 'v1$uorders$u2'('g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0))), inference(resolution, [status(thm)], [d19,c18])).
% 22.63/4.94  cnf(d21, plain, ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1) | 'k1$ulatsum$u1'(X0,X1) = 'g1$uorders$u2'('u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)),'u1$uorders$u2'('k1$ulatsum$u1'(X0,X1))) | ~'v1$uorders$u2'('k1$ulatsum$u1'(X0,X1)), inference(resolution, [status(thm)], [c21,c0])).
% 22.63/4.94  cnf(d22, plain, 'k1$ulatsum$u1'(X0,X1) = 'g1$uorders$u2'('u1$ustruct$u0'('k1$ulatsum$u1'(X0,X1)),'u1$uorders$u2'('k1$ulatsum$u1'(X0,X1))) | ~'l1$uorders$u2'(X1) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X0) | ~'l1$uorders$u2'(X1), inference(resolution, [status(thm)], [d21,c20])).
% 22.63/4.94  cnf(d23, plain, 'k1$ulatsum$u1'(sK97,X0) = 'g1$uorders$u2'('u1$ustruct$u0'('k1$ulatsum$u1'(sK97,X0)),'u1$uorders$u2'('k1$ulatsum$u1'(sK97,X0))) | ~'l1$uorders$u2'(X0), inference(resolution, [status(thm)], [d22,c67])).
% 22.63/4.94  cnf(d24, plain, 'k1$ulatsum$u1'(sK97,sK97) = 'g1$uorders$u2'('u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK97)),'u1$uorders$u2'('k1$ulatsum$u1'(sK97,sK97))), inference(resolution, [status(thm)], [d23,c67])).
% 22.63/4.94  cnf(d25, plain, 'v1$uorders$u2'('k1$ulatsum$u1'(sK97,sK97)) | ~'l1$uorders$u2'('k1$ulatsum$u1'(sK97,sK97)), inference(superposition, [status(thm)], [d24,d20])).
% 22.63/4.94  cnf(d26, plain, 'v1$uorders$u2'('k1$ulatsum$u1'(sK97,sK97)) | ~'l1$uorders$u2'(sK97) | ~'l1$uorders$u2'(sK97), inference(resolution, [status(thm)], [d25,c21])).
% 22.63/4.94  cnf(d27, plain, 'v1$uorders$u2'('k1$ulatsum$u1'(sK97,sK97)), inference(resolution, [status(thm)], [c67,d26])).
% 22.63/4.94  cnf(d28, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK97)) = 'k2$uxboole$u0'('u1$ustruct$u0'(sK97),'u1$ustruct$u0'(sK97)) | ~'l1$uorders$u2'(sK97) | ~'l1$uorders$u2'(sK97), inference(resolution, [status(thm)], [d27,d1])).
% 22.63/4.94  cnf(d29, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK97)) = 'u1$ustruct$u0'(sK97) | ~'l1$uorders$u2'(sK97), inference(demodulation, [status(thm)], [d28,c42])).
% 22.63/4.94  cnf(d30, plain, 'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK97)) = 'u1$ustruct$u0'(sK97), inference(resolution, [status(thm)], [c67,d29])).
% 22.63/4.94  cnf(d31, plain, ~'v1$uxboole$u0'('u1$ustruct$u0'(sK97)) | ~'l1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK97)) | 'v3$ustruct$u0'('k1$ulatsum$u1'(sK97,sK97)), inference(superposition, [status(thm)], [d30,c34])).
% 22.63/4.94  cnf(d32, plain, 'v3$ustruct$u0'('k1$ulatsum$u1'(sK97,sK97)) | ~'v1$uxboole$u0'('u1$ustruct$u0'(sK97)) | ~'l1$uorders$u2'(sK97) | ~'l1$uorders$u2'(sK97), inference(resolution, [status(thm)], [d31,d18])).
% 22.63/4.94  cnf(d33, plain, 'v3$ustruct$u0'('k1$ulatsum$u1'(sK97,sK97)) | ~'v1$uxboole$u0'('u1$ustruct$u0'(sK97)), inference(resolution, [status(thm)], [c67,d32])).
% 22.63/4.94  cnf(d34, plain, ~'v1$uxboole$u0'('u1$ustruct$u0'(sK97)) | ~'l1$uorders$u2'(sK97) | ~'l1$uorders$u2'(sK97) | 'v3$ustruct$u0'(sK97), inference(resolution, [status(thm)], [d33,c32])).
% 22.63/4.94  cnf(d35, plain, ~'l1$uorders$u2'(sK97) | ~'v1$uxboole$u0'('u1$ustruct$u0'(sK97)), inference(resolution, [status(thm)], [c66,d34])).
% 22.63/4.94  cnf(d36, plain, ~'v1$uxboole$u0'('u1$ustruct$u0'(sK97)), inference(resolution, [status(thm)], [c67,d35])).
% 22.63/4.94  cnf(d37, plain, ~'v1$uxboole$u0'('u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98))), inference(resolution, [status(thm)], [d36,d17])).
% 22.63/4.94  cnf(d38, plain, 'r2$uhidden'(sK99,'u1$ustruct$u0'('k1$ulatsum$u1'(sK97,sK98))), inference(resolution, [status(thm)], [d37,d16])).
% 22.63/4.94  cnf(d39, plain, $false, inference(resolution, [status(thm)], [d38,d15])).
% 22.63/4.94  % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------