%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 01:15:41 PM UTC 2026
% Result : Unsatisfiable 2.95s 1.18s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f31,negated_conjecture,
equalish(a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_d_4) ).
fof(f32,negated_conjecture,
~ equalish(multiply(d,b),multiply(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_not_equal_to_multiply_5) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ defined(X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_109,plain,
defined(b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_111,negated_conjecture,
equalish(a,d),
inference(cnf_transformation,[],[f31]) ).
tcf(c_112,negated_conjecture,
~ equalish(multiply(d,b),multiply(a,b)),
inference(cnf_transformation,[],[f32]) ).
tcf(c_290,negated_conjecture,
equalish(a,d),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_719,plain,
equalish(d,a),
inference(superposition,[status(thm)],[c_290,c_102]) ).
tcf(c_2648,plain,
( equalish(multiply(d,b),multiply(a,b))
| ~ defined(b)
| ~ equalish(d,a) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2649,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2648,c_719,c_112,c_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n008.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 : Fri Sep 25 10:44:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 2.95/1.18 % SZS status Started for theBenchmark.p
% 2.95/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.95/1.18
% 2.95/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.95/1.18
% 2.95/1.18 % ------ iProver source info
% 2.95/1.18
% 2.95/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.95/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.95/1.18 % git: non_committed_changes: false
% 2.95/1.18
% 2.95/1.18 % ------ Parsing...% successful
% 2.95/1.18
% 2.95/1.18
% 2.95/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.95/1.18
% 2.95/1.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.95/1.18
% 2.95/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.95/1.18
% 2.95/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.95/1.18 % ------ Proving...
% 2.95/1.18 % ------ Problem Properties
% 2.95/1.18
% 2.95/1.18 %
% 2.95/1.18 % clauses 34
% 2.95/1.18 % conjectures 2
% 2.95/1.18 % EPR 15
% 2.95/1.18 % Horn 31
% 2.95/1.18 % unary 10
% 2.95/1.18 % binary 6
% 2.95/1.18 % lits 80
% 2.95/1.18 % lits eq 2
% 2.95/1.18 % fd_pure 0
% 2.95/1.18 % fd_pseudo 0
% 2.95/1.18 % fd_cond 0
% 2.95/1.18 % fd_pseudo_cond 0
% 2.95/1.18 % AC symbols 0
% 2.95/1.18
% 2.95/1.18 % ------ Schedule dynamic 5 is on
% 2.95/1.18
% 2.95/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.95/1.18
% 2.95/1.18
% 2.95/1.18 % ------
% 2.95/1.18 % Current options:
% 2.95/1.18 % ------
% 2.95/1.18
% 2.95/1.18
% 2.95/1.18 %
% 2.95/1.18
% 2.95/1.18 % ------ Proving...
% 2.95/1.18 %
% 2.95/1.18
% 2.95/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.95/1.18
% 2.95/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.95/1.18
% 2.95/1.18
%------------------------------------------------------------------------------