%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP543-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:34:41 PM UTC 2026
% Result : Unsatisfiable 2.74s 1.28s
% Output : CNFRefutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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; 4 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i] : divide(X0,X0) = identity,
inference(cnf_transformation,[],[f4]) ).
tcf(c_56,negated_conjecture,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] : divide(divide(identity,divide(divide(identity,X0),X1)),X0) = X1,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(identity,divide(divide(X0,X1),divide(identity,divide(divide(divide(X2,X0),X3),X2)))),X1) = X3,
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,divide(X1,identity)),X2),
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_106,plain,
! [X0: $i] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_55,c_94]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_94,c_106]) ).
tcf(c_115,plain,
! [X0: $i] : divide(X0,identity) = X0,
inference(superposition,[status(thm)],[c_55,c_111]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] : divide(divide(identity,X0),X1) = divide(divide(identity,X1),X0),
inference(superposition,[status(thm)],[c_111,c_96]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,X0),divide(divide(X1,X0),divide(identity,divide(divide(identity,X1),X2)))) = X2,
inference(demodulation,[status(thm)],[c_97,c_98,c_115,c_121]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] : divide(identity,divide(divide(X0,identity),divide(identity,divide(divide(identity,X0),X1)))) = X1,
inference(superposition,[status(thm)],[c_55,c_138]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] : divide(divide(identity,X0),divide(identity,divide(identity,divide(divide(identity,X0),X1)))) = X1,
inference(superposition,[status(thm)],[c_55,c_138]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] : divide(identity,divide(X0,divide(identity,divide(divide(identity,X0),X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_140,c_115]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] : divide(identity,divide(X0,divide(identity,X1))) = divide(divide(identity,X0),X1),
inference(superposition,[status(thm)],[c_111,c_160]) ).
tcf(c_217,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(demodulation,[status(thm)],[c_56,c_207]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i] : divide(divide(identity,X0),divide(identity,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_111,c_121]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] : divide(X0,divide(identity,X1)) = divide(X1,divide(identity,X0)),
inference(superposition,[status(thm)],[c_111,c_256]) ).
tcf(c_293,plain,
divide(c3,divide(identity,divide(a3,divide(identity,b3)))) != divide(a3,divide(divide(identity,b3),c3)),
inference(demodulation,[status(thm)],[c_217,c_284]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,X1),X2),
inference(demodulation,[status(thm)],[c_98,c_115]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,X0),divide(divide(X1,X0),X2)) = divide(X2,X1),
inference(superposition,[status(thm)],[c_111,c_296]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(X0,X1)),X2) = divide(divide(X1,X2),X0),
inference(superposition,[status(thm)],[c_111,c_296]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i] : divide(X0,divide(identity,divide(X1,X0))) = X1,
inference(demodulation,[status(thm)],[c_144,c_256,c_284,c_309]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i] : divide(identity,divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_327,c_111]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(superposition,[status(thm)],[c_327,c_256]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(identity,X2)) = divide(X2,divide(X1,X0)),
inference(superposition,[status(thm)],[c_341,c_256]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,X0),divide(X1,X2)) = divide(divide(X2,X1),X0),
inference(superposition,[status(thm)],[c_341,c_121]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(X1,X2)),divide(X2,X1)) = X0,
inference(superposition,[status(thm)],[c_341,c_349]) ).
tcf(c_515,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(c3,divide(divide(identity,a3),b3)),
inference(demodulation,[status(thm)],[c_293,c_207]) ).
tcf(c_803,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(X1,X2)),X2) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_302,c_401]) ).
tcf(c_854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(X0,X1),divide(X2,X3)) = divide(X0,divide(X1,divide(X3,X2))),
inference(superposition,[status(thm)],[c_803,c_425]) ).
tcf(c_901,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1),
inference(light_normalisation,[status(thm)],[c_309,c_341]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = divide(X2,divide(X1,X0)),
inference(demodulation,[status(thm)],[c_400,c_115,c_854]) ).
tcf(c_979,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(b3,divide(divide(identity,a3),c3)),
inference(demodulation,[status(thm)],[c_515,c_978]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(divide(X1,X2),X3)) = divide(X2,divide(divide(X1,X3),X0)),
inference(superposition,[status(thm)],[c_901,c_978]) ).
tcf(c_1050,plain,
$false,
inference(ground_joinability,[status(thm)],[c_979,c_901,c_1011]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP543-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 15:04:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running UEQ theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.74/1.28 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.74/1.28 % SZS status Started for theBenchmark.p
% 2.74/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.74/1.28
% 2.74/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.74/1.28
% 2.74/1.28 % ------ iProver source info
% 2.74/1.28
% 2.74/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.74/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.74/1.28 % git: non_committed_changes: false
% 2.74/1.28
% 2.74/1.28 % ------ Parsing...% successful
% 2.74/1.28
% 2.74/1.28
% 2.74/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.74/1.28
% 2.74/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.74/1.28
% 2.74/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.74/1.28
% 2.74/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.74/1.28 % ------ Proving...
% 2.74/1.28 % ------ Problem Properties
% 2.74/1.28
% 2.74/1.28 %
% 2.74/1.28 % clauses 3
% 2.74/1.28 % conjectures 1
% 2.74/1.28 % EPR 0
% 2.74/1.28 % Horn 3
% 2.74/1.28 % unary 3
% 2.74/1.28 % binary 0
% 2.74/1.28 % lits 3
% 2.74/1.28 % lits eq 3
% 2.74/1.28 % fd_pure 0
% 2.74/1.28 % fd_pseudo 0
% 2.74/1.28 % fd_cond 0
% 2.74/1.28 % fd_pseudo_cond 0
% 2.74/1.28 % AC symbols 0
% 2.74/1.28
% 2.74/1.28 % ------ Input Options Time Limit: Unbounded
% 2.74/1.28
% 2.74/1.28
% 2.74/1.28 % ------
% 2.74/1.28 % Current options:
% 2.74/1.28 % ------
% 2.74/1.28
% 2.74/1.28
% 2.74/1.28 %
% 2.74/1.28
% 2.74/1.28 % ------ Proving...
% 2.74/1.28 %
% 2.74/1.28
% 2.74/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.74/1.28
% 2.74/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.74/1.28
% 2.74/1.28
%------------------------------------------------------------------------------