%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP660-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 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 : Fri Sep 25 01:35:06 PM UTC 2026
% Result : Unsatisfiable 98.82s 15.41s
% Output : CNFRefutation 98.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 6
% Syntax : Number of formulae : 69 ( 69 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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; 0 con; 1-2 aty)
% Number of variables : 137 ( 0 sgn 137 !; 0 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
! [X0: $i] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_85,negated_conjecture,
! [X0: $i] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_55,c_58]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X0))) = mult(X2,X0),
inference(superposition,[status(thm)],[c_55,c_59]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,X1),mult(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[status(thm)],[c_55,c_59]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,X1),mult(X1,mult(X2,rd(X0,X1)))) = mult(mult(X0,X2),rd(X0,X1)),
inference(superposition,[status(thm)],[c_57,c_59]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,mult(X1,mult(X2,X0))),X0) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_59,c_58]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,X1),mult(X1,mult(ld(X0,X2),rd(X0,X1)))) = mult(X2,rd(X0,X1)),
inference(superposition,[status(thm)],[c_57,c_167]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(mult(X1,X0),X2),X1)) = ld(X1,mult(X2,X1)),
inference(superposition,[status(thm)],[c_167,c_56]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(X0,X1),mult(ld(ld(X0,X1),X2),X1)) = mult(mult(X2,X0),ld(X0,X1)),
inference(superposition,[status(thm)],[c_55,c_169]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X0),X1)),
inference(superposition,[status(thm)],[c_57,c_169]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i,X2: $i] : ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(superposition,[status(thm)],[c_169,c_56]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(mult(X0,X1),mult(mult(X2,X0),X1)),mult(X0,X1)) = mult(mult(mult(X0,X1),X1),ld(X1,X2)),
inference(superposition,[status(thm)],[c_169,c_173]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),rd(X2,X0)) = rd(mult(X0,mult(X1,X2)),X0),
inference(superposition,[status(thm)],[c_57,c_173]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i,X2: $i] : rd(ld(X0,mult(X1,X0)),mult(ld(mult(X0,X2),X1),X0)) = X2,
inference(superposition,[status(thm)],[c_203,c_58]) ).
tcf(c_504,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,rd(X1,rd(X2,X0))),X2)) = mult(X1,X0),
inference(superposition,[status(thm)],[c_57,c_228]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(X0,rd(X1,X2)),mult(X2,mult(ld(X2,X0),X1))) = X2,
inference(superposition,[status(thm)],[c_228,c_56]) ).
tcf(c_853,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(X0,rd(X1,X2)),mult(X2,X0)) = ld(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_57,c_233]) ).
tcf(c_1617,plain,
! [X0: $i,X1: $i] : rd(X0,mult(ld(mult(X0,X1),X0),X0)) = X1,
inference(superposition,[status(thm)],[c_56,c_453]) ).
tcf(c_2046,plain,
! [X0: $i,X1: $i] : mult(ld(mult(X0,X1),X0),X0) = ld(X1,X0),
inference(superposition,[status(thm)],[c_1617,c_139]) ).
tcf(c_2152,plain,
! [X0: $i,X1: $i] : ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_2046,c_58]) ).
tcf(c_2422,plain,
! [X0: $i,X1: $i] : ld(mult(X0,rd(X0,X1)),X0) = rd(X1,X0),
inference(superposition,[status(thm)],[c_139,c_2152]) ).
tcf(c_3221,plain,
! [X0: $i,X1: $i] : mult(mult(X0,rd(X0,X1)),rd(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_2422,c_55]) ).
tcf(c_3685,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,X1),mult(ld(X1,rd(X0,rd(X2,X1))),X2)) = X1,
inference(superposition,[status(thm)],[c_504,c_58]) ).
tcf(c_4563,plain,
! [X0: $i,X1: $i,X2: $i] : rd(ld(X0,mult(X1,X0)),mult(X2,X0)) = ld(X0,rd(X1,X2)),
inference(superposition,[status(thm)],[c_853,c_58]) ).
tcf(c_15361,plain,
! [X0: $i,X1: $i,X2: $i] : rd(X0,mult(ld(X1,rd(rd(X0,X1),rd(X2,X1))),X2)) = X1,
inference(superposition,[status(thm)],[c_57,c_3685]) ).
tcf(c_17215,plain,
! [X0: $i,X1: $i] : ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,rd(X0,X0)),
inference(superposition,[status(thm)],[c_4563,c_2152]) ).
tcf(c_24823,plain,
! [X0: $i] : ld(rd(X0,X0),rd(X0,X0)) = ld(X0,mult(X0,rd(X0,X0))),
inference(superposition,[status(thm)],[c_3221,c_17215]) ).
tcf(c_24935,plain,
! [X0: $i] : ld(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_24823,c_56]) ).
tcf(c_25177,plain,
! [X0: $i] : mult(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_24935,c_55]) ).
tcf(c_25189,plain,
! [X0: $i] : rd(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_24935,c_142]) ).
tcf(c_25971,plain,
! [X0: $i] : mult(mult(X0,rd(X0,X0)),rd(X0,X0)) = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(superposition,[status(thm)],[c_25177,c_170]) ).
tcf(c_25998,plain,
! [X0: $i] : mult(rd(X0,X0),mult(X0,rd(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_25971,c_3221]) ).
tcf(c_26555,plain,
! [X0: $i] : ld(rd(X0,X0),X0) = mult(X0,rd(X0,X0)),
inference(superposition,[status(thm)],[c_25998,c_56]) ).
tcf(c_26596,plain,
! [X0: $i] : mult(X0,rd(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_26555,c_139]) ).
tcf(c_26950,plain,
! [X0: $i] : ld(rd(X0,X0),rd(X0,X0)) = ld(X0,X0),
inference(superposition,[status(thm)],[c_26596,c_17215]) ).
tcf(c_27026,plain,
! [X0: $i] : ld(X0,mult(X0,mult(ld(X0,X0),X0))) = X0,
inference(superposition,[status(thm)],[c_26596,c_514]) ).
tcf(c_27030,plain,
! [X0: $i] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_26596,c_2422]) ).
tcf(c_27031,plain,
! [X0: $i] : mult(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_27026,c_56]) ).
tcf(c_27049,plain,
! [X0: $i] : rd(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_25189,c_27030]) ).
tcf(c_27050,plain,
! [X0: $i] : mult(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_25177,c_27030]) ).
tcf(c_27723,plain,
! [X0: $i,X1: $i] : rd(X0,mult(ld(X1,rd(rd(X0,X1),ld(X1,X1))),X1)) = X1,
inference(superposition,[status(thm)],[c_27030,c_15361]) ).
tcf(c_29232,plain,
! [X0: $i] : ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(light_normalisation,[status(thm)],[c_26950,c_27030]) ).
tcf(c_29248,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[status(thm)],[c_29232,c_227]) ).
tcf(c_30247,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0)))) = mult(X1,ld(X0,X0)),
inference(superposition,[status(thm)],[c_27049,c_197]) ).
tcf(c_30291,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),mult(mult(X1,ld(X0,X0)),ld(X0,X0))) = mult(X1,ld(X0,X0)),
inference(light_normalisation,[status(thm)],[c_30247,c_29248]) ).
tcf(c_31180,plain,
! [X0: $i,X1: $i] : rd(mult(ld(X0,X0),mult(mult(X1,ld(X0,X0)),ld(X0,X0))),ld(X0,X0)) = mult(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(superposition,[status(thm)],[c_27050,c_257]) ).
tcf(c_31235,plain,
! [X0: $i,X1: $i] : mult(mult(ld(X0,X0),mult(X1,ld(X0,X0))),ld(X0,X0)) = X1,
inference(demodulation,[status(thm)],[c_31180,c_55,c_259,c_27049]) ).
tcf(c_75059,plain,
! [X0: $i,X1: $i] : mult(ld(ld(X0,X0),ld(X0,X0)),mult(mult(X1,ld(X0,X0)),ld(X0,X0))) = ld(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_31235,c_233]) ).
tcf(c_75107,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),mult(mult(X1,ld(X0,X0)),ld(X0,X0))) = ld(ld(X0,X0),X1),
inference(demodulation,[status(thm)],[c_75059,c_29232]) ).
tcf(c_75108,plain,
! [X0: $i,X1: $i] : ld(ld(X0,X0),X1) = mult(X1,ld(X0,X0)),
inference(light_normalisation,[status(thm)],[c_75107,c_30291]) ).
tcf(c_76182,plain,
! [X0: $i,X1: $i] : rd(X0,mult(mult(rd(rd(X0,ld(X1,X1)),ld(ld(X1,X1),ld(X1,X1))),ld(X1,X1)),ld(X1,X1))) = ld(X1,X1),
inference(superposition,[status(thm)],[c_75108,c_27723]) ).
tcf(c_76239,plain,
! [X0: $i,X1: $i] : ld(X0,X0) = ld(X1,X1),
inference(demodulation,[status(thm)],[c_76182,c_57,c_27030,c_27050,c_75108]) ).
tcf(c_76554,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_76239,c_55]) ).
tcf(c_76633,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),X1) = X1,
inference(superposition,[status(thm)],[c_76239,c_27031]) ).
tcf(c_78771,plain,
! [X0: $i] : tuple(x1(ld(X0,X0)),mult(x1_2(ld(X0,X0)),ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(superposition,[status(thm)],[c_76633,c_85]) ).
tcf(c_78995,plain,
$false,
inference(ground_joinability,[status(thm)],[c_78771,c_76554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Wed Sep 23 15:32:12 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running UEQ theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 98.82/15.41 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 98.82/15.41 % SZS status Started for theBenchmark.p
% 98.82/15.41 % SZS status Unsatisfiable for theBenchmark.p
% 98.82/15.41
% 98.82/15.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 98.82/15.41
% 98.82/15.41 % ------ iProver source info
% 98.82/15.41
% 98.82/15.41 % git: date: 2026-07-19 20:42:38 +0200
% 98.82/15.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 98.82/15.41 % git: non_committed_changes: false
% 98.82/15.41
% 98.82/15.41 % ------ Parsing...% successful
% 98.82/15.41
% 98.82/15.41
% 98.82/15.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 98.82/15.41
% 98.82/15.41 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 98.82/15.41
% 98.82/15.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 98.82/15.41
% 98.82/15.41 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 98.82/15.41 % ------ Proving...
% 98.82/15.41 % ------ Problem Properties
% 98.82/15.41
% 98.82/15.41 %
% 98.82/15.41 % clauses 6
% 98.82/15.41 % conjectures 1
% 98.82/15.41 % EPR 0
% 98.82/15.41 % Horn 6
% 98.82/15.41 % unary 6
% 98.82/15.41 % binary 0
% 98.82/15.41 % lits 6
% 98.82/15.41 % lits eq 6
% 98.82/15.41 % fd_pure 0
% 98.82/15.41 % fd_pseudo 0
% 98.82/15.41 % fd_cond 0
% 98.82/15.41 % fd_pseudo_cond 0
% 98.82/15.41 % AC symbols 0
% 98.82/15.41
% 98.82/15.41 % ------ Input Options Time Limit: Unbounded
% 98.82/15.41
% 98.82/15.41
% 98.82/15.41 % ------
% 98.82/15.41 % Current options:
% 98.82/15.41 % ------
% 98.82/15.41
% 98.82/15.41
% 98.82/15.41 %
% 98.82/15.41
% 98.82/15.41 % ------ Proving...
% 98.82/15.41 %
% 98.82/15.41
% 98.82/15.41 % SZS status Unsatisfiable for theBenchmark.p
% 98.82/15.41
% 98.82/15.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 98.82/15.42
% 98.82/15.42
%------------------------------------------------------------------------------