%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP697-1 : 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 01:35:13 PM UTC 2026
% Result : Unsatisfiable 1.35s 1.78s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 92 ( 92 unt; 8 def)
% Number of atoms : 157 ( 91 equ)
% Maximal formula atoms : 1 ( 1 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 : 10 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 98 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X0,X1] : mult(X0,i(mult(X1,X0))) = i(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f10,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
fof(f11,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0] : mult(X0,i(X0)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).
fof(f13,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
mult(mult(a,b),mult(b,mult(c,b))) != mult(mult(a,mult(b,mult(b,c))),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
! [X0: $i] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : mult(X0,i(mult(X1,X0))) = i(X1),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),ld(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(cnf_transformation,[],[f9]) ).
tcf(c_70,plain,
! [X0: $i] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[],[f11]) ).
tcf(c_71,plain,
! [X0: $i] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[],[f13]) ).
tcf(c_72,negated_conjecture,
mult(mult(a,mult(b,mult(b,c))),b) != mult(mult(a,b),mult(b,mult(c,b))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_114,definition,
iPr_def_10 = mult(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_115,definition,
iPr_def_11 = mult(b,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_116,definition,
iPr_def_12 = mult(a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_117,definition,
iPr_def_13 = mult(iPr_def_12,b),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_118,definition,
iPr_def_14 = mult(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_119,definition,
iPr_def_15 = mult(c,b),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_120,definition,
iPr_def_16 = mult(b,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_121,definition,
iPr_def_17 = mult(iPr_def_14,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_122,negated_conjecture,
iPr_def_13 != iPr_def_17,
inference(demodulation,[status(thm)],[c_72,c_119,c_120,c_118,c_121,c_114,c_115,c_116,c_117]) ).
tcf(c_123,plain,
! [X0: $i] : mult(X0,i(X0)) = unit,
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_124,plain,
! [X0: $i] : mult(i(X0),X0) = unit,
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),ld(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(X1,X2)),
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] : mult(X0,i(mult(X1,X0))) = i(X1),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_128,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_129,plain,
! [X0: $i] : mult(X0,unit) = X0,
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_232,plain,
! [X0: $i] : ld(i(X0),unit) = X0,
inference(superposition,[status(thm)],[c_124,c_132]) ).
tcf(c_233,plain,
! [X0: $i] : ld(X0,unit) = i(X0),
inference(superposition,[status(thm)],[c_123,c_132]) ).
tcf(c_235,plain,
ld(c,iPr_def_15) = b,
inference(superposition,[status(thm)],[c_119,c_132]) ).
tcf(c_237,plain,
ld(b,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_115,c_132]) ).
tcf(c_238,plain,
ld(a,iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_116,c_132]) ).
tcf(c_239,plain,
ld(iPr_def_12,iPr_def_13) = b,
inference(superposition,[status(thm)],[c_117,c_132]) ).
tcf(c_240,plain,
ld(b,iPr_def_16) = iPr_def_15,
inference(superposition,[status(thm)],[c_120,c_132]) ).
tcf(c_241,plain,
ld(iPr_def_14,iPr_def_17) = iPr_def_16,
inference(superposition,[status(thm)],[c_121,c_132]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i] : mult(X0,i(X1)) = i(rd(X1,X0)),
inference(superposition,[status(thm)],[c_131,c_127]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i] : ld(X0,i(X1)) = i(mult(X1,X0)),
inference(superposition,[status(thm)],[c_127,c_132]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i] : rd(i(X0),i(mult(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_127,c_130]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] : mult(unit,ld(X0,mult(X1,X0))) = mult(mult(i(X0),X1),X0),
inference(superposition,[status(thm)],[c_124,c_125]) ).
tcf(c_273,plain,
! [X0: $i] : mult(iPr_def_14,ld(b,mult(X0,b))) = mult(mult(a,X0),b),
inference(superposition,[status(thm)],[c_118,c_125]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i] : mult(rd(mult(X0,X1),X0),unit) = mult(X0,mult(X1,i(X0))),
inference(superposition,[status(thm)],[c_123,c_126]) ).
tcf(c_343,plain,
! [X0: $i] : i(i(X0)) = X0,
inference(demodulation,[status(thm)],[c_232,c_233]) ).
tcf(c_353,plain,
! [X0: $i,X1: $i] : mult(rd(mult(X0,X1),X0),unit) = i(rd(rd(X0,X1),X0)),
inference(demodulation,[status(thm)],[c_327,c_247]) ).
tcf(c_354,plain,
! [X0: $i,X1: $i] : i(rd(rd(X0,X1),X0)) = rd(mult(X0,X1),X0),
inference(demodulation,[status(thm)],[c_353,c_129]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i] : mult(mult(i(X0),X1),X0) = ld(X0,mult(X1,X0)),
inference(demodulation,[status(thm)],[c_271,c_128]) ).
tcf(c_600,plain,
mult(c,b) = iPr_def_15,
inference(superposition,[status(thm)],[c_235,c_133]) ).
tcf(c_602,plain,
mult(b,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_237,c_133]) ).
tcf(c_603,plain,
mult(a,iPr_def_11) = iPr_def_12,
inference(superposition,[status(thm)],[c_238,c_133]) ).
tcf(c_604,plain,
mult(iPr_def_12,b) = iPr_def_13,
inference(superposition,[status(thm)],[c_239,c_133]) ).
tcf(c_605,plain,
mult(b,iPr_def_15) = iPr_def_16,
inference(superposition,[status(thm)],[c_240,c_133]) ).
tcf(c_606,plain,
mult(iPr_def_14,iPr_def_16) = iPr_def_17,
inference(superposition,[status(thm)],[c_241,c_133]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i] : i(rd(i(X0),X1)) = mult(X1,X0),
inference(superposition,[status(thm)],[c_343,c_247]) ).
tcf(c_728,plain,
! [X0: $i,X1: $i] : i(rd(X0,rd(X1,i(X0)))) = X1,
inference(superposition,[status(thm)],[c_247,c_131]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i] : i(mult(i(X0),X1)) = ld(X1,X0),
inference(superposition,[status(thm)],[c_343,c_261]) ).
tcf(c_756,plain,
! [X0: $i,X1: $i] : rd(i(X0),i(X1)) = ld(X0,X1),
inference(superposition,[status(thm)],[c_133,c_262]) ).
tcf(c_767,plain,
rd(i(b),i(iPr_def_10)) = c,
inference(superposition,[status(thm)],[c_114,c_262]) ).
tcf(c_820,plain,
! [X0: $i,X1: $i] : ld(mult(i(X0),X1),ld(X0,mult(X1,X0))) = X0,
inference(superposition,[status(thm)],[c_357,c_132]) ).
tcf(c_1333,plain,
! [X0: $i,X1: $i] : rd(X0,rd(X1,i(X0))) = i(X1),
inference(superposition,[status(thm)],[c_728,c_343]) ).
tcf(c_1362,plain,
! [X0: $i,X1: $i] : ld(i(X0),X1) = rd(X0,i(X1)),
inference(superposition,[status(thm)],[c_343,c_756]) ).
tcf(c_1403,plain,
mult(i(iPr_def_10),b) = i(c),
inference(superposition,[status(thm)],[c_767,c_723]) ).
tcf(c_1455,plain,
! [X0: $i,X1: $i] : mult(i(X0),X1) = i(ld(X1,X0)),
inference(superposition,[status(thm)],[c_748,c_343]) ).
tcf(c_1760,plain,
ld(mult(i(b),i(iPr_def_10)),ld(b,i(c))) = b,
inference(superposition,[status(thm)],[c_1403,c_820]) ).
tcf(c_1941,plain,
rd(rd(iPr_def_10,i(b)),iPr_def_15) = b,
inference(demodulation,[status(thm)],[c_1760,c_261,c_343,c_600,c_1362,c_1455]) ).
tcf(c_2622,plain,
rd(iPr_def_10,i(b)) = mult(b,iPr_def_15),
inference(superposition,[status(thm)],[c_1941,c_131]) ).
tcf(c_2966,plain,
rd(iPr_def_10,i(b)) = iPr_def_16,
inference(demodulation,[status(thm)],[c_2622,c_605]) ).
tcf(c_3132,plain,
rd(b,iPr_def_16) = i(iPr_def_10),
inference(superposition,[status(thm)],[c_2966,c_1333]) ).
tcf(c_3472,plain,
rd(mult(b,iPr_def_16),b) = i(rd(i(iPr_def_10),b)),
inference(superposition,[status(thm)],[c_3132,c_354]) ).
tcf(c_3727,plain,
rd(mult(b,iPr_def_16),b) = iPr_def_11,
inference(demodulation,[status(thm)],[c_3472,c_602,c_723]) ).
tcf(c_3925,plain,
mult(b,iPr_def_16) = mult(iPr_def_11,b),
inference(superposition,[status(thm)],[c_3727,c_131]) ).
tcf(c_4334,plain,
ld(b,mult(iPr_def_11,b)) = iPr_def_16,
inference(superposition,[status(thm)],[c_3925,c_132]) ).
tcf(c_4703,plain,
mult(mult(a,iPr_def_11),b) = mult(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_4334,c_273]) ).
tcf(c_4949,plain,
iPr_def_13 = iPr_def_17,
inference(demodulation,[status(thm)],[c_4703,c_603,c_604,c_606]) ).
tcf(c_4950,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4949,c_122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP697-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 15:45:18 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running UEQ theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.35/1.78 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.35/1.78 % SZS status Started for theBenchmark.p
% 1.35/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.78
% 1.35/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.35/1.78
% 1.35/1.78 % ------ iProver source info
% 1.35/1.78
% 1.35/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 1.35/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.35/1.78 % git: non_committed_changes: false
% 1.35/1.78
% 1.35/1.78 % ------ Parsing...% successful
% 1.35/1.78
% 1.35/1.78
% 1.35/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.35/1.78
% 1.35/1.78 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.35/1.78
% 1.35/1.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.35/1.78
% 1.35/1.78 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.35/1.78 % ------ Proving...
% 1.35/1.78 % ------ Problem Properties
% 1.35/1.78
% 1.35/1.78 %
% 1.35/1.78 % clauses 20
% 1.35/1.78 % conjectures 1
% 1.35/1.78 % EPR 1
% 1.35/1.78 % Horn 20
% 1.35/1.78 % unary 20
% 1.35/1.78 % binary 0
% 1.35/1.78 % lits 20
% 1.35/1.78 % lits eq 20
% 1.35/1.78 % fd_pure 0
% 1.35/1.78 % fd_pseudo 0
% 1.35/1.78 % fd_cond 0
% 1.35/1.78 % fd_pseudo_cond 0
% 1.35/1.78 % AC symbols 0
% 1.35/1.78
% 1.35/1.78 % ------ Input Options Time Limit: Unbounded
% 1.35/1.78
% 1.35/1.78
% 1.35/1.78 % ------
% 1.35/1.78 % Current options:
% 1.35/1.78 % ------
% 1.35/1.78
% 1.35/1.78
% 1.35/1.78 %
% 1.35/1.78
% 1.35/1.78 % ------ Proving...
% 1.35/1.78 %
% 1.35/1.78
% 1.35/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.78
% 1.35/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.35/1.78
% 1.35/1.78
%------------------------------------------------------------------------------