%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP685-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 : Fri Sep 25 01:35:12 PM UTC 2026
% Result : Unsatisfiable 1.86s 6.29s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 62 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn 121 !; 0 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f8,negated_conjecture,
rd(mult(x6,rd(x7,x8)),rd(x7,x8)) != rd(mult(x6,x8),x8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tcf(c_57,plain,
! [X0: $i] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,plain,
! [X0: $i] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,negated_conjecture,
rd(mult(x6,rd(x7,x8)),rd(x7,x8)) != rd(mult(x6,x8),x8),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,plain,
! [X0: $i] : mult(rd(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_58,c_60]) ).
tcf(c_89,plain,
! [X0: $i] : mult(X0,ld(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_57,c_59]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(demodulation,[status(thm)],[c_63,c_59,c_60]) ).
tcf(c_91,plain,
mult(rd(x6,rd(x7,x8)),rd(x7,x8)) != mult(rd(x6,x8),x8),
inference(demodulation,[status(thm)],[c_64,c_60]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(demodulation,[status(thm)],[c_62,c_60]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(demodulation,[status(thm)],[c_61,c_59]) ).
tcf(c_156,plain,
! [X0: $i] : mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_89,c_59]) ).
tcf(c_159,plain,
! [X0: $i] : mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_88,c_60]) ).
tcf(c_167,plain,
! [X0: $i] : ld(X0,X0) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_159,c_90,c_156]) ).
tcf(c_168,plain,
! [X0: $i] : mult(X0,ld(X0,rd(X0,X0))) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_156,c_167]) ).
tcf(c_169,plain,
! [X0: $i] : mult(X0,rd(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_89,c_167]) ).
tcf(c_172,plain,
! [X0: $i] : mult(rd(X0,rd(X0,X0)),rd(X0,X0)) = rd(X0,rd(X0,X0)),
inference(superposition,[status(thm)],[c_169,c_60]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,rd(X1,X1))),
inference(demodulation,[status(thm)],[c_90,c_167]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X0),mult(rd(X0,X2),X2)),
inference(superposition,[status(thm)],[c_88,c_92]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(rd(X0,X0),X2),X2)),
inference(superposition,[status(thm)],[c_169,c_92]) ).
tcf(c_194,plain,
mult(rd(x6,x6),mult(rd(x6,x8),x8)) != mult(rd(x6,x8),x8),
inference(demodulation,[status(thm)],[c_91,c_185]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[c_88,c_93]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X0,X1)),rd(X1,X1)) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[c_169,c_93]) ).
tcf(c_270,plain,
! [X0: $i] : rd(X0,rd(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_172,c_88,c_185]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(rd(X1,rd(X2,X2)),rd(X2,X2))) = mult(rd(mult(X0,X1),X2),X2),
inference(superposition,[status(thm)],[c_270,c_92]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] : mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_88,c_185]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = mult(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_369,c_185]) ).
tcf(c_478,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,rd(X2,X0))),rd(X1,rd(X2,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_476,c_88]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,rd(X2,X2)))),
inference(demodulation,[status(thm)],[c_188,c_176]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X0),mult(rd(X0,X1),X1)) = mult(X0,mult(X0,ld(X0,rd(X1,X1)))),
inference(superposition,[status(thm)],[c_582,c_185]) ).
tcf(c_619,plain,
mult(x6,mult(x6,ld(x6,rd(x8,x8)))) != mult(rd(x6,x8),x8),
inference(demodulation,[status(thm)],[c_194,c_606]) ).
tcf(c_792,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = mult(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_168,c_211]) ).
tcf(c_818,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_792,c_88]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i] : mult(rd(rd(X0,X0),rd(X1,X0)),rd(X1,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_270,c_478]) ).
tcf(c_1270,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,rd(rd(X1,X0),rd(X1,X0)))) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_990,c_176]) ).
tcf(c_1276,plain,
! [X0: $i] : mult(rd(X0,X0),ld(rd(X0,X0),rd(X0,X0))) = rd(rd(X0,X0),rd(X0,X0)),
inference(superposition,[status(thm)],[c_270,c_1270]) ).
tcf(c_1348,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = mult(X0,rd(X0,X0)),
inference(superposition,[status(thm)],[c_818,c_215]) ).
tcf(c_1390,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1348,c_169]) ).
tcf(c_1526,plain,
! [X0: $i,X1: $i] : mult(rd(mult(X0,X1),X1),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_369,c_271]) ).
tcf(c_1540,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,rd(X2,X2))),rd(X1,rd(X2,X2))) = mult(rd(mult(rd(X0,X0),X0),X2),X2),
inference(superposition,[status(thm)],[c_271,c_185]) ).
tcf(c_1550,plain,
! [X0: $i,X1: $i] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
inference(light_normalisation,[status(thm)],[c_1526,c_60]) ).
tcf(c_1552,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,rd(X2,X2))),rd(X1,rd(X2,X2))) = mult(rd(X0,X2),X2),
inference(light_normalisation,[status(thm)],[c_1540,c_88]) ).
tcf(c_1815,plain,
! [X0: $i,X1: $i] : mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(rd(X0,X0),X1),
inference(superposition,[status(thm)],[c_176,c_1550]) ).
tcf(c_1841,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(rd(X0,X0),X2),
inference(demodulation,[status(thm)],[c_211,c_1815]) ).
tcf(c_1878,plain,
! [X0: $i,X1: $i] : mult(rd(ld(X0,X1),ld(X0,X1)),X0) = X0,
inference(demodulation,[status(thm)],[c_1390,c_1841]) ).
tcf(c_1885,plain,
! [X0: $i] : mult(rd(rd(X0,X0),rd(X0,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_167,c_1878]) ).
tcf(c_1929,plain,
! [X0: $i] : mult(rd(rd(rd(X0,X0),rd(X0,X0)),X0),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_1885,c_60]) ).
tcf(c_2107,plain,
! [X0: $i] : rd(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_1929,c_176,c_1276]) ).
tcf(c_2131,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,rd(X2,X2))),rd(X1,rd(X2,X2))) = mult(X0,mult(X0,ld(X0,rd(X2,X2)))),
inference(superposition,[status(thm)],[c_2107,c_582]) ).
tcf(c_2143,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X0,ld(X0,rd(X1,X1)))) = mult(rd(X0,X1),X1),
inference(light_normalisation,[status(thm)],[c_2131,c_1552]) ).
tcf(c_2148,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_619,c_2143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP685-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.58 % Computer : n002.cluster.edu
% 0.09/5.58 % Model : x86_64 x86_64
% 0.09/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58 % Memory : 8046.5625MB
% 0.09/5.58 % OS : Linux 6.8.0-71-generic
% 0.09/5.58 % CPULimit : 300
% 0.09/5.58 % WCLimit : 300
% 0.09/5.58 % DateTime : Wed Sep 23 15:45:10 UTC 2026
% 0.09/5.58 % CPUTime :
% 0.09/5.58 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.62 Running UEQ theorem proving
% 0.13/5.62 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.63
% 0.13/5.63 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.63
% 0.13/5.63 % Detected problem language: tptp
% 0.13/5.64 % Proving...
% 1.86/6.29 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.86/6.29 % SZS status Started for theBenchmark.p
% 1.86/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/6.29
% 1.86/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.86/6.29
% 1.86/6.29 % ------ iProver source info
% 1.86/6.29
% 1.86/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.86/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.86/6.29 % git: non_committed_changes: false
% 1.86/6.29
% 1.86/6.29 % ------ Parsing...% successful
% 1.86/6.29
% 1.86/6.29
% 1.86/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.86/6.29
% 1.86/6.29 % ------ Preprocessing... sup_sim: 6 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.86/6.29
% 1.86/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.86/6.29
% 1.86/6.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.86/6.29 % ------ Proving...
% 1.86/6.29 % ------ Problem Properties
% 1.86/6.29
% 1.86/6.29 %
% 1.86/6.29 % clauses 8
% 1.86/6.29 % conjectures 0
% 1.86/6.29 % EPR 0
% 1.86/6.29 % Horn 8
% 1.86/6.29 % unary 8
% 1.86/6.29 % binary 0
% 1.86/6.29 % lits 8
% 1.86/6.29 % lits eq 8
% 1.86/6.29 % fd_pure 0
% 1.86/6.29 % fd_pseudo 0
% 1.86/6.29 % fd_cond 0
% 1.86/6.29 % fd_pseudo_cond 0
% 1.86/6.29 % AC symbols 0
% 1.86/6.29
% 1.86/6.29 % ------ Input Options Time Limit: Unbounded
% 1.86/6.29
% 1.86/6.29
% 1.86/6.29 % ------
% 1.86/6.29 % Current options:
% 1.86/6.29 % ------
% 1.86/6.29
% 1.86/6.29
% 1.86/6.29 %
% 1.86/6.29
% 1.86/6.29 % ------ Proving...
% 1.86/6.29 %
% 1.86/6.29
% 1.86/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/6.29
% 1.86/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.86/6.29
% 1.86/6.29
%------------------------------------------------------------------------------