%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT003-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 01:01:04 PM UTC 2026
% Result : Unsatisfiable 2.98s 1.18s
% Output : CNFRefutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 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; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
fof(f13,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,compose(a,b)) != X1
| compose(X0,compose(a,b)) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epimorphism) ).
fof(f15,axiom,
compose(h,a) = compose(g,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_equals_ga) ).
fof(f16,negated_conjecture,
g != h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).
fof(f17,plain,
h != g,
inference(reorient_equations,[],[f16]) ).
fof(f19,plain,
! [X2,X0] :
( X0 = X2
| compose(X0,compose(a,b)) != compose(X2,compose(a,b)) ),
inference(equality_resolution,[],[f13]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] : compose(compose(X0,X1),X2) = compose(X0,compose(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( compose(X0,compose(a,b)) != compose(X1,compose(a,b)) ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_79,plain,
compose(h,a) = compose(g,a),
inference(cnf_transformation,[],[f15]) ).
tcf(c_80,negated_conjecture,
h != g,
inference(cnf_transformation,[],[f17]) ).
tcf(c_259,negated_conjecture,
h != g,
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_428,plain,
! [X0: $i] : compose(compose(h,a),X0) = compose(g,compose(a,X0)),
inference(superposition,[status(thm)],[c_79,c_73]) ).
tcf(c_539,plain,
! [X0: $i] : compose(h,compose(a,X0)) = compose(g,compose(a,X0)),
inference(demodulation,[status(thm)],[c_428,c_73]) ).
tcf(c_545,plain,
! [X0: $i] :
( ( X0 = g )
| ( compose(X0,compose(a,b)) != compose(h,compose(a,b)) ) ),
inference(superposition,[status(thm)],[c_539,c_77]) ).
tcf(c_1194,plain,
h = g,
inference(equality_resolution,[status(thm)],[c_545]) ).
tcf(c_1195,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1194,c_259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT003-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 06:51:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.98/1.18 % SZS status Started for theBenchmark.p
% 2.98/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.98/1.18
% 2.98/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.98/1.18
% 2.98/1.18 % ------ iProver source info
% 2.98/1.18
% 2.98/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.98/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.98/1.18 % git: non_committed_changes: false
% 2.98/1.18
% 2.98/1.18 % ------ Parsing...% successful
% 2.98/1.18
% 2.98/1.18
% 2.98/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.98/1.18
% 2.98/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.98/1.18
% 2.98/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.98/1.18
% 2.98/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.98/1.18 % ------ Proving...
% 2.98/1.18 % ------ Problem Properties
% 2.98/1.18
% 2.98/1.18 %
% 2.98/1.18 % clauses 13
% 2.98/1.18 % conjectures 1
% 2.98/1.18 % EPR 2
% 2.98/1.18 % Horn 13
% 2.98/1.18 % unary 7
% 2.98/1.18 % binary 5
% 2.98/1.18 % lits 20
% 2.98/1.18 % lits eq 9
% 2.98/1.18 % fd_pure 0
% 2.98/1.18 % fd_pseudo 0
% 2.98/1.18 % fd_cond 0
% 2.98/1.18 % fd_pseudo_cond 1
% 2.98/1.18 % AC symbols 0
% 2.98/1.18
% 2.98/1.18 % ------ Schedule dynamic 5 is on
% 2.98/1.18
% 2.98/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.98/1.18
% 2.98/1.18
% 2.98/1.18 % ------
% 2.98/1.18 % Current options:
% 2.98/1.18 % ------
% 2.98/1.18
% 2.98/1.18
% 2.98/1.18 %
% 2.98/1.18
% 2.98/1.18 % ------ Proving...
% 2.98/1.18 %
% 2.98/1.18
% 2.98/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.98/1.18
% 2.98/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.98/1.18
% 2.98/1.18
%------------------------------------------------------------------------------