%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP534-1 : 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 : n013.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 01:34:40 PM UTC 2026
% Result : Unsatisfiable 2.03s 1.26s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f6,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f5]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i] : divide(X0,X0) = identity,
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[],[f6]) ).
tcf(c_73,plain,
! [X0: $i] : divide(identity,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_56,c_57]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_55,c_57,c_73]) ).
tcf(c_130,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(superposition,[status(thm)],[c_74,c_57]) ).
tcf(c_131,plain,
! [X0: $i] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_74,c_73]) ).
tcf(c_132,plain,
multiply(identity,a2) != a2,
inference(demodulation,[status(thm)],[c_58,c_130]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_146,c_73,c_74]) ).
tcf(c_245,plain,
! [X0: $i] : divide(identity,inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_130,c_243]) ).
tcf(c_259,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[c_245,c_73,c_131]) ).
tcf(c_262,plain,
a2 != a2,
inference(demodulation,[status(thm)],[c_132,c_259]) ).
tcf(c_263,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP534-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 15:00:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running UEQ theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 2.03/1.26 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.03/1.26 % SZS status Started for theBenchmark.p
% 2.03/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.26
% 2.03/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.03/1.26
% 2.03/1.26 % ------ iProver source info
% 2.03/1.26
% 2.03/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.03/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.03/1.26 % git: non_committed_changes: false
% 2.03/1.26
% 2.03/1.26 % ------ Parsing...% successful
% 2.03/1.26
% 2.03/1.26
% 2.03/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.03/1.26
% 2.03/1.26 % ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.03/1.26
% 2.03/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.03/1.26
% 2.03/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.03/1.26 % ------ Proving...
% 2.03/1.26 % ------ Problem Properties
% 2.03/1.26
% 2.03/1.26 %
% 2.03/1.26 % clauses 5
% 2.03/1.26 % conjectures 1
% 2.03/1.26 % EPR 0
% 2.03/1.26 % Horn 5
% 2.03/1.26 % unary 5
% 2.03/1.26 % binary 0
% 2.03/1.26 % lits 5
% 2.03/1.26 % lits eq 5
% 2.03/1.26 % fd_pure 0
% 2.03/1.26 % fd_pseudo 0
% 2.03/1.26 % fd_cond 0
% 2.03/1.26 % fd_pseudo_cond 0
% 2.03/1.26 % AC symbols 0
% 2.03/1.26
% 2.03/1.26 % ------ Input Options Time Limit: Unbounded
% 2.03/1.26
% 2.03/1.26
% 2.03/1.26 % ------
% 2.03/1.26 % Current options:
% 2.03/1.26 % ------
% 2.03/1.26
% 2.03/1.26
% 2.03/1.26 %
% 2.03/1.26
% 2.03/1.26 % ------ Proving...
% 2.03/1.26 %
% 2.03/1.26
% 2.03/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.26
% 2.03/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.03/1.26
% 2.03/1.26
%------------------------------------------------------------------------------