%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP754-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 01:35:21 PM UTC 2026
% Result : Unsatisfiable 188.84s 25.66s
% Output : CNFRefutation 188.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 65 ( 65 unt; 6 def)
% Number of atoms : 164 ( 64 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn 74 !; 0 ?; 60 :)
% 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(X0,mult(X1,X2)) = mult(mult(rd(X0,X0),X1),mult(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(X1,ld(X2,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(rd(X0,X0),X1),mult(X0,X2)) = mult(X0,mult(X1,X2)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(X2,ld(X1,X1))) = mult(mult(X0,X2),X1),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_88,definition,
iPr_def_10 = mult(a,a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_89,definition,
iPr_def_11 = mult(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_90,definition,
iPr_def_12 = mult(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_91,definition,
iPr_def_13 = mult(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_92,definition,
iPr_def_14 = mult(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_93,definition,
iPr_def_15 = mult(iPr_def_13,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_94,negated_conjecture,
iPr_def_12 != iPr_def_15,
inference(demodulation,[status(thm)],[c_62,c_92,c_91,c_93,c_89,c_88,c_90]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),mult(X2,ld(X1,X1))) = mult(mult(X0,X2),X1),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(rd(X0,X0),X1),mult(X0,X2)) = mult(X0,mult(X1,X2)),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_172,plain,
ld(b,iPr_def_11) = c,
inference(superposition,[status(thm)],[c_89,c_99]) ).
tcf(c_173,plain,
ld(a,iPr_def_13) = b,
inference(superposition,[status(thm)],[c_91,c_99]) ).
tcf(c_175,plain,
ld(iPr_def_10,iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_90,c_99]) ).
tcf(c_176,plain,
ld(iPr_def_13,iPr_def_15) = iPr_def_14,
inference(superposition,[status(thm)],[c_93,c_99]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(X0,X1),mult(mult(X0,X2),X1)) = mult(X2,ld(X1,X1)),
inference(superposition,[status(thm)],[c_95,c_99]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(mult(X0,X1),X2),mult(X1,ld(X2,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[c_95,c_97]) ).
tcf(c_264,plain,
! [X0: $i] : mult(mult(rd(a,a),X0),iPr_def_14) = mult(a,mult(X0,c)),
inference(superposition,[status(thm)],[c_92,c_96]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(rd(X0,X0),X1),mult(X0,mult(X1,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[c_96,c_99]) ).
tcf(c_286,plain,
mult(b,c) = iPr_def_11,
inference(superposition,[status(thm)],[c_172,c_100]) ).
tcf(c_288,plain,
mult(a,b) = iPr_def_13,
inference(superposition,[status(thm)],[c_173,c_100]) ).
tcf(c_292,plain,
mult(iPr_def_10,iPr_def_11) = iPr_def_12,
inference(superposition,[status(thm)],[c_175,c_100]) ).
tcf(c_294,plain,
mult(iPr_def_13,iPr_def_14) = iPr_def_15,
inference(superposition,[status(thm)],[c_176,c_100]) ).
tcf(c_651,plain,
! [X0: $i] : ld(iPr_def_11,mult(mult(b,X0),c)) = mult(X0,ld(c,c)),
inference(superposition,[status(thm)],[c_89,c_210]) ).
tcf(c_653,plain,
! [X0: $i] : ld(iPr_def_14,mult(mult(a,X0),c)) = mult(X0,ld(c,c)),
inference(superposition,[status(thm)],[c_92,c_210]) ).
tcf(c_655,plain,
! [X0: $i] : ld(iPr_def_15,mult(mult(iPr_def_13,X0),iPr_def_14)) = mult(X0,ld(iPr_def_14,iPr_def_14)),
inference(superposition,[status(thm)],[c_93,c_210]) ).
tcf(c_678,plain,
! [X0: $i] : ld(mult(rd(a,a),iPr_def_14),mult(a,mult(X0,c))) = mult(X0,ld(iPr_def_14,iPr_def_14)),
inference(superposition,[status(thm)],[c_264,c_210]) ).
tcf(c_681,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(X0,X1),mult(X2,X1)) = mult(ld(X0,X2),ld(X1,X1)),
inference(superposition,[status(thm)],[c_100,c_210]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(rd(X0,X1),X2),mult(X0,X2)) = mult(X1,ld(X2,X2)),
inference(superposition,[status(thm)],[c_98,c_210]) ).
tcf(c_685,plain,
! [X0: $i] : ld(mult(a,X0),mult(iPr_def_10,X0)) = mult(a,ld(X0,X0)),
inference(superposition,[status(thm)],[c_88,c_210]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,X1),mult(X2,ld(X1,X1))) = mult(rd(X0,X2),X1),
inference(superposition,[status(thm)],[c_98,c_211]) ).
tcf(c_964,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(rd(X0,X0),X1),mult(X0,X2)) = mult(X0,ld(X1,X2)),
inference(superposition,[status(thm)],[c_100,c_268]) ).
tcf(c_1429,plain,
! [X0: $i] : mult(a,ld(iPr_def_14,mult(X0,c))) = mult(X0,ld(iPr_def_14,iPr_def_14)),
inference(demodulation,[status(thm)],[c_678,c_964]) ).
tcf(c_2710,plain,
! [X0: $i] : mult(ld(b,X0),ld(c,c)) = ld(iPr_def_11,mult(X0,c)),
inference(superposition,[status(thm)],[c_100,c_651]) ).
tcf(c_2792,plain,
! [X0: $i] : mult(ld(iPr_def_13,X0),ld(iPr_def_14,iPr_def_14)) = ld(iPr_def_15,mult(X0,iPr_def_14)),
inference(superposition,[status(thm)],[c_100,c_655]) ).
tcf(c_2816,plain,
ld(iPr_def_13,mult(iPr_def_10,b)) = mult(a,ld(b,b)),
inference(superposition,[status(thm)],[c_288,c_685]) ).
tcf(c_2823,plain,
ld(mult(a,iPr_def_11),iPr_def_12) = mult(a,ld(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_292,c_685]) ).
tcf(c_4655,plain,
ld(iPr_def_14,mult(ld(iPr_def_13,mult(iPr_def_10,b)),c)) = mult(ld(b,b),ld(c,c)),
inference(superposition,[status(thm)],[c_2816,c_653]) ).
tcf(c_5469,plain,
ld(iPr_def_14,mult(ld(iPr_def_13,mult(iPr_def_10,b)),c)) = ld(iPr_def_11,iPr_def_11),
inference(demodulation,[status(thm)],[c_4655,c_286,c_2710]) ).
tcf(c_10964,plain,
mult(ld(iPr_def_13,mult(iPr_def_10,b)),ld(iPr_def_14,iPr_def_14)) = mult(a,ld(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_5469,c_1429]) ).
tcf(c_11209,plain,
ld(iPr_def_15,mult(mult(iPr_def_10,b),iPr_def_14)) = ld(mult(a,iPr_def_11),iPr_def_12),
inference(demodulation,[status(thm)],[c_10964,c_2792,c_2823]) ).
tcf(c_35094,plain,
! [X0: $i] : ld(mult(rd(iPr_def_13,X0),iPr_def_14),iPr_def_15) = mult(X0,ld(iPr_def_14,iPr_def_14)),
inference(superposition,[status(thm)],[c_294,c_682]) ).
tcf(c_36938,plain,
! [X0: $i] : rd(iPr_def_13,mult(X0,ld(b,b))) = mult(rd(a,X0),b),
inference(superposition,[status(thm)],[c_288,c_720]) ).
tcf(c_38926,plain,
rd(iPr_def_13,ld(iPr_def_13,mult(iPr_def_10,b))) = mult(rd(a,a),b),
inference(superposition,[status(thm)],[c_2816,c_36938]) ).
tcf(c_42713,plain,
ld(mult(mult(rd(a,a),b),iPr_def_14),iPr_def_15) = mult(ld(iPr_def_13,mult(iPr_def_10,b)),ld(iPr_def_14,iPr_def_14)),
inference(superposition,[status(thm)],[c_38926,c_35094]) ).
tcf(c_43143,plain,
ld(mult(a,iPr_def_11),iPr_def_12) = ld(mult(a,iPr_def_11),iPr_def_15),
inference(demodulation,[status(thm)],[c_42713,c_264,c_286,c_294,c_681,c_11209]) ).
tcf(c_44274,plain,
mult(mult(a,iPr_def_11),ld(mult(a,iPr_def_11),iPr_def_15)) = iPr_def_12,
inference(superposition,[status(thm)],[c_43143,c_100]) ).
tcf(c_44817,plain,
iPr_def_12 = iPr_def_15,
inference(demodulation,[status(thm)],[c_44274,c_100]) ).
tcf(c_45029,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_44817,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP754-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.44 % Computer : n020.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Wed Sep 23 15:57:49 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.22/0.50 Running UEQ theorem proving
% 0.22/0.51 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
% 0.22/0.52
% 0.22/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.52
% 0.22/0.52 % Detected problem language: tptp
% 0.22/0.54 % Proving...
% 188.84/25.66 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 188.84/25.66 % SZS status Started for theBenchmark.p
% 188.84/25.66 % SZS status Unsatisfiable for theBenchmark.p
% 188.84/25.66
% 188.84/25.66 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 188.84/25.66
% 188.84/25.66 % ------ iProver source info
% 188.84/25.66
% 188.84/25.66 % git: date: 2026-07-19 20:42:38 +0200
% 188.84/25.66 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 188.84/25.66 % git: non_committed_changes: false
% 188.84/25.66
% 188.84/25.66 % ------ Parsing...% successful
% 188.84/25.66
% 188.84/25.66
% 188.84/25.66 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 188.84/25.66
% 188.84/25.66 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 188.84/25.66
% 188.84/25.66 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 188.84/25.66
% 188.84/25.66 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 188.84/25.66 % ------ Proving...
% 188.84/25.66 % ------ Problem Properties
% 188.84/25.66
% 188.84/25.66 %
% 188.84/25.66 % clauses 13
% 188.84/25.66 % conjectures 1
% 188.84/25.66 % EPR 1
% 188.84/25.66 % Horn 13
% 188.84/25.66 % unary 13
% 188.84/25.66 % binary 0
% 188.84/25.66 % lits 13
% 188.84/25.66 % lits eq 13
% 188.84/25.66 % fd_pure 0
% 188.84/25.66 % fd_pseudo 0
% 188.84/25.66 % fd_cond 0
% 188.84/25.66 % fd_pseudo_cond 0
% 188.84/25.66 % AC symbols 0
% 188.84/25.66
% 188.84/25.66 % ------ Input Options Time Limit: Unbounded
% 188.84/25.66
% 188.84/25.66
% 188.84/25.66 % ------
% 188.84/25.66 % Current options:
% 188.84/25.66 % ------
% 188.84/25.66
% 188.84/25.66
% 188.84/25.66 %
% 188.84/25.66
% 188.84/25.66 % ------ Proving...
% 188.84/25.66 %
% 188.84/25.66
% 188.84/25.66 % SZS status Unsatisfiable for theBenchmark.p
% 188.84/25.66
% 188.84/25.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 188.84/25.66
% 188.84/25.66
%------------------------------------------------------------------------------