%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP665-12 : 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 : n017.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 01:35:08 PM UTC 2026
% Result : Unsatisfiable 1.84s 1.17s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f7,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',f07) ).
fof(f9,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f10,negated_conjecture,
mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i] : mult(X0,op_c) = mult(op_c,X0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_98,plain,
mult(op_c,mult(x0,x1)) != mult(x0,mult(op_c,x1)),
inference(demodulation,[status(thm)],[c_68,c_67]) ).
tcf(c_178,plain,
! [X0: $i] : rd(mult(op_c,X0),op_c) = X0,
inference(superposition,[status(thm)],[c_67,c_62]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i] : mult(rd(mult(op_c,X0),op_c),mult(X1,op_c)) = mult(op_c,mult(X0,X1)),
inference(superposition,[status(thm)],[c_67,c_65]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1)),
inference(light_normalisation,[status(thm)],[c_197,c_178]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i] : mult(X0,mult(op_c,X1)) = mult(op_c,mult(X0,X1)),
inference(superposition,[status(thm)],[c_67,c_206]) ).
tcf(c_452,plain,
mult(op_c,mult(x0,x1)) != mult(op_c,mult(x0,x1)),
inference(demodulation,[status(thm)],[c_98,c_425]) ).
tcf(c_453,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP665-12 : 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 : n017.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 15:31:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running UEQ theorem proving
% 0.11/0.40 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.84/1.17 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.84/1.17 % SZS status Started for theBenchmark.p
% 1.84/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.84/1.17
% 1.84/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.84/1.17
% 1.84/1.17 % ------ iProver source info
% 1.84/1.17
% 1.84/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.84/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.84/1.17 % git: non_committed_changes: false
% 1.84/1.17
% 1.84/1.17 % ------ Parsing...% successful
% 1.84/1.17
% 1.84/1.17
% 1.84/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.84/1.17
% 1.84/1.17 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.84/1.17
% 1.84/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.84/1.17
% 1.84/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.84/1.17 % ------ Proving...
% 1.84/1.17 % ------ Problem Properties
% 1.84/1.17
% 1.84/1.17 %
% 1.84/1.17 % clauses 10
% 1.84/1.17 % conjectures 0
% 1.84/1.17 % EPR 0
% 1.84/1.17 % Horn 10
% 1.84/1.17 % unary 10
% 1.84/1.17 % binary 0
% 1.84/1.17 % lits 10
% 1.84/1.17 % lits eq 10
% 1.84/1.17 % fd_pure 0
% 1.84/1.17 % fd_pseudo 0
% 1.84/1.17 % fd_cond 0
% 1.84/1.17 % fd_pseudo_cond 0
% 1.84/1.17 % AC symbols 0
% 1.84/1.17
% 1.84/1.17 % ------ Input Options Time Limit: Unbounded
% 1.84/1.17
% 1.84/1.17
% 1.84/1.17 % ------
% 1.84/1.17 % Current options:
% 1.84/1.17 % ------
% 1.84/1.17
% 1.84/1.17
% 1.84/1.17 %
% 1.84/1.17
% 1.84/1.17 % ------ Proving...
% 1.84/1.17 %
% 1.84/1.17
% 1.84/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.84/1.17
% 1.84/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.84/1.17
% 1.84/1.17
%------------------------------------------------------------------------------