%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP660-14 : 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 : n011.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 01:35:07 PM UTC 2026
% Result : Unsatisfiable 6.92s 2.75s
% Output : CNFRefutation 6.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 69 ( 69 unt; 2 def)
% Number of atoms : 188 ( 68 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?; 49 :)
% 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,
mult(ld(x1,x1),x0) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
x0 != mult(ld(x1,x1),x0),
inference(reorient_equations,[],[f6]) ).
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,
mult(ld(x1,x1),x0) != x0,
inference(cnf_transformation,[],[f7]) ).
tcf(c_83,definition,
iPr_def_10 = ld(x1,x1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_84,definition,
iPr_def_11 = mult(iPr_def_10,x0),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_85,negated_conjecture,
iPr_def_11 != x0,
inference(demodulation,[status(thm)],[c_60,c_83,c_84]) ).
tcf(c_136,plain,
mult(x1,iPr_def_10) = x1,
inference(superposition,[status(thm)],[c_83,c_55]) ).
tcf(c_139,plain,
ld(iPr_def_10,iPr_def_11) = x0,
inference(superposition,[status(thm)],[c_84,c_56]) ).
tcf(c_142,plain,
mult(iPr_def_10,x0) = iPr_def_11,
inference(superposition,[status(thm)],[c_139,c_55]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_55,c_58]) ).
tcf(c_158,plain,
rd(x1,iPr_def_10) = x1,
inference(superposition,[status(thm)],[c_136,c_58]) ).
tcf(c_202,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_204,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_207,plain,
! [X0: $i] : mult(iPr_def_10,mult(x0,mult(X0,iPr_def_10))) = mult(mult(iPr_def_11,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_142,c_59]) ).
tcf(c_209,plain,
! [X0: $i] : mult(x1,mult(iPr_def_10,mult(X0,x1))) = mult(mult(x1,X0),x1),
inference(superposition,[status(thm)],[c_136,c_59]) ).
tcf(c_211,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_212,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X0)))) = X0,
inference(superposition,[status(thm)],[c_59,c_56]) ).
tcf(c_225,plain,
! [X0: $i] : mult(mult(iPr_def_11,rd(X0,iPr_def_10)),iPr_def_10) = mult(iPr_def_10,mult(x0,X0)),
inference(superposition,[status(thm)],[c_57,c_207]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,X1),mult(ld(X1,X2),X0))) = mult(X2,X0),
inference(superposition,[status(thm)],[c_55,c_202]) ).
tcf(c_276,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_202]) ).
tcf(c_314,plain,
! [X0: $i] : rd(mult(mult(x1,X0),x1),mult(iPr_def_10,mult(X0,x1))) = x1,
inference(superposition,[status(thm)],[c_209,c_58]) ).
tcf(c_336,plain,
! [X0: $i] : ld(mult(iPr_def_11,rd(X0,iPr_def_10)),mult(iPr_def_10,mult(x0,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_225,c_56]) ).
tcf(c_466,plain,
! [X0: $i] : mult(iPr_def_10,mult(ld(iPr_def_10,X0),x1)) = mult(mult(X0,x1),iPr_def_10),
inference(superposition,[status(thm)],[c_136,c_204]) ).
tcf(c_520,plain,
rd(mult(x1,x1),mult(iPr_def_10,mult(iPr_def_10,x1))) = x1,
inference(superposition,[status(thm)],[c_136,c_314]) ).
tcf(c_536,plain,
ld(x1,mult(x1,x1)) = mult(iPr_def_10,mult(iPr_def_10,x1)),
inference(superposition,[status(thm)],[c_520,c_149]) ).
tcf(c_540,plain,
mult(iPr_def_10,mult(iPr_def_10,x1)) = x1,
inference(demodulation,[status(thm)],[c_536,c_56]) ).
tcf(c_553,plain,
rd(x1,mult(iPr_def_10,x1)) = iPr_def_10,
inference(superposition,[status(thm)],[c_540,c_58]) ).
tcf(c_777,plain,
! [X0: $i] : ld(iPr_def_10,mult(mult(X0,x1),iPr_def_10)) = mult(ld(iPr_def_10,X0),x1),
inference(superposition,[status(thm)],[c_466,c_56]) ).
tcf(c_1595,plain,
! [X0: $i] : rd(mult(iPr_def_10,mult(X0,x1)),iPr_def_10) = mult(mult(iPr_def_10,X0),x1),
inference(superposition,[status(thm)],[c_136,c_211]) ).
tcf(c_2292,plain,
! [X0: $i] : mult(ld(iPr_def_10,rd(X0,x1)),x1) = ld(iPr_def_10,mult(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_57,c_777]) ).
tcf(c_3213,plain,
mult(mult(iPr_def_10,iPr_def_10),x1) = rd(x1,iPr_def_10),
inference(superposition,[status(thm)],[c_540,c_1595]) ).
tcf(c_3225,plain,
mult(mult(iPr_def_10,iPr_def_10),x1) = x1,
inference(light_normalisation,[status(thm)],[c_3213,c_158]) ).
tcf(c_3240,plain,
mult(iPr_def_10,iPr_def_10) = rd(x1,x1),
inference(superposition,[status(thm)],[c_3225,c_58]) ).
tcf(c_4037,plain,
! [X0: $i] : mult(x1,mult(ld(x1,iPr_def_10),ld(iPr_def_10,mult(X0,iPr_def_10)))) = mult(rd(X0,x1),x1),
inference(superposition,[status(thm)],[c_2292,c_275]) ).
tcf(c_4124,plain,
! [X0: $i] : mult(x1,mult(ld(x1,iPr_def_10),ld(iPr_def_10,mult(X0,iPr_def_10)))) = X0,
inference(demodulation,[status(thm)],[c_4037,c_57]) ).
tcf(c_7787,plain,
mult(x1,mult(ld(x1,iPr_def_10),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_56,c_4124]) ).
tcf(c_7860,plain,
ld(mult(mult(iPr_def_10,x1),ld(x1,iPr_def_10)),mult(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_7787,c_212]) ).
tcf(c_12629,plain,
mult(mult(iPr_def_10,x1),ld(x1,iPr_def_10)) = rd(mult(iPr_def_10,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_7860,c_155]) ).
tcf(c_12633,plain,
mult(mult(iPr_def_10,x1),ld(x1,iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_12629,c_58]) ).
tcf(c_12733,plain,
rd(iPr_def_10,ld(x1,iPr_def_10)) = mult(iPr_def_10,x1),
inference(superposition,[status(thm)],[c_12633,c_58]) ).
tcf(c_12745,plain,
mult(iPr_def_10,x1) = x1,
inference(demodulation,[status(thm)],[c_12733,c_155]) ).
tcf(c_12774,plain,
rd(x1,x1) = iPr_def_10,
inference(demodulation,[status(thm)],[c_553,c_12745]) ).
tcf(c_12776,plain,
mult(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3240,c_12774]) ).
tcf(c_12894,plain,
rd(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_12776,c_58]) ).
tcf(c_12899,plain,
! [X0: $i] : mult(iPr_def_10,mult(ld(iPr_def_10,X0),iPr_def_10)) = mult(mult(X0,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_12776,c_204]) ).
tcf(c_13094,plain,
! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,mult(ld(iPr_def_10,X0),iPr_def_10))) = mult(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_12894,c_276]) ).
tcf(c_13104,plain,
ld(mult(iPr_def_11,iPr_def_10),mult(iPr_def_10,mult(x0,iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12894,c_336]) ).
tcf(c_13110,plain,
! [X0: $i] : mult(iPr_def_10,mult(mult(X0,iPr_def_10),iPr_def_10)) = mult(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_13094,c_12899]) ).
tcf(c_14933,plain,
! [X0: $i] : mult(iPr_def_10,mult(X0,iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_57,c_13110]) ).
tcf(c_14988,plain,
ld(mult(iPr_def_11,iPr_def_10),x0) = iPr_def_10,
inference(demodulation,[status(thm)],[c_13104,c_14933]) ).
tcf(c_21327,plain,
! [X0: $i] : ld(iPr_def_10,X0) = mult(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_14933,c_56]) ).
tcf(c_21414,plain,
mult(iPr_def_11,iPr_def_10) = x0,
inference(demodulation,[status(thm)],[c_139,c_21327]) ).
tcf(c_21485,plain,
rd(x0,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_21414,c_58]) ).
tcf(c_21890,plain,
ld(x0,x0) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_14988,c_21414]) ).
tcf(c_21896,plain,
rd(x0,iPr_def_10) = x0,
inference(superposition,[status(thm)],[c_21890,c_155]) ).
tcf(c_21899,plain,
x0 = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_21896,c_21485]) ).
tcf(c_21943,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_85,c_21899]) ).
tcf(c_21944,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_21943]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660-14 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 15:32:42 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...
% 6.92/2.75 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 6.92/2.75 % SZS status Started for theBenchmark.p
% 6.92/2.75 % SZS status Unsatisfiable for theBenchmark.p
% 6.92/2.75
% 6.92/2.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.92/2.75
% 6.92/2.75 % ------ iProver source info
% 6.92/2.75
% 6.92/2.75 % git: date: 2026-07-19 20:42:38 +0200
% 6.92/2.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.92/2.75 % git: non_committed_changes: false
% 6.92/2.75
% 6.92/2.75 % ------ Parsing...% successful
% 6.92/2.75
% 6.92/2.75
% 6.92/2.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.92/2.75
% 6.92/2.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 6.92/2.75
% 6.92/2.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.92/2.75
% 6.92/2.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.92/2.75 % ------ Proving...
% 6.92/2.75 % ------ Problem Properties
% 6.92/2.75
% 6.92/2.75 %
% 6.92/2.75 % clauses 8
% 6.92/2.75 % conjectures 1
% 6.92/2.75 % EPR 1
% 6.92/2.75 % Horn 8
% 6.92/2.75 % unary 8
% 6.92/2.75 % binary 0
% 6.92/2.75 % lits 8
% 6.92/2.75 % lits eq 8
% 6.92/2.75 % fd_pure 0
% 6.92/2.75 % fd_pseudo 0
% 6.92/2.75 % fd_cond 0
% 6.92/2.75 % fd_pseudo_cond 0
% 6.92/2.75 % AC symbols 0
% 6.92/2.75
% 6.92/2.75 % ------ Input Options Time Limit: Unbounded
% 6.92/2.75
% 6.92/2.75
% 6.92/2.75 % ------
% 6.92/2.75 % Current options:
% 6.92/2.75 % ------
% 6.92/2.75
% 6.92/2.75
% 6.92/2.75 %
% 6.92/2.75
% 6.92/2.75 % ------ Proving...
% 6.92/2.75 %
% 6.92/2.75
% 6.92/2.75 % SZS status Unsatisfiable for theBenchmark.p
% 6.92/2.75
% 6.92/2.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.92/2.75
% 6.92/2.75
%------------------------------------------------------------------------------