%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 01:00:15 PM UTC 2026
% Result : Unsatisfiable 2.08s 6.47s
% Output : CNFRefutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_add) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_add_property) ).
fof(f4,axiom,
! [X0,X1] : add(multiply(X0,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_multiply) ).
fof(f7,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_multiply) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : multiply(add(X0,X1),X1) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(X1,add(X0,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),X1) = X1,
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,negated_conjecture,
multiply(b,a) != multiply(a,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_130,plain,
! [X0: $i] : add(X0,X0) = X0,
inference(superposition,[status(thm)],[c_56,c_59]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_57,c_130]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_154,c_130]) ).
tcf(c_494,plain,
multiply(b,a) != multiply(b,a),
inference(demodulation,[status(thm)],[c_62,c_492]) ).
tcf(c_495,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.56 % Computer : n004.cluster.edu
% 0.09/5.56 % Model : x86_64 x86_64
% 0.09/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.56 % Memory : 8046.5625MB
% 0.09/5.56 % OS : Linux 6.8.0-71-generic
% 0.09/5.56 % CPULimit : 300
% 0.09/5.56 % WCLimit : 300
% 0.09/5.56 % DateTime : Fri Sep 25 06:34:44 UTC 2026
% 0.09/5.56 % CPUTime :
% 0.09/5.56 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.60 Running UEQ theorem proving
% 0.15/5.60 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
% 0.15/5.61
% 0.15/5.61 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.61
% 0.15/5.61 % Detected problem language: tptp
% 0.15/5.62 % Proving...
% 2.08/6.47 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.08/6.47 % SZS status Started for theBenchmark.p
% 2.08/6.47 % SZS status Unsatisfiable for theBenchmark.p
% 2.08/6.47
% 2.08/6.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.08/6.47
% 2.08/6.47 % ------ iProver source info
% 2.08/6.47
% 2.08/6.47 % git: date: 2026-07-19 20:42:38 +0200
% 2.08/6.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.08/6.47 % git: non_committed_changes: false
% 2.08/6.47
% 2.08/6.47 % ------ Parsing...% successful
% 2.08/6.47
% 2.08/6.47
% 2.08/6.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.08/6.47
% 2.08/6.47 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.08/6.47
% 2.08/6.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.08/6.47
% 2.08/6.47 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.08/6.47 % ------ Proving...
% 2.08/6.47 % ------ Problem Properties
% 2.08/6.47
% 2.08/6.47 %
% 2.08/6.47 % clauses 7
% 2.08/6.47 % conjectures 1
% 2.08/6.47 % EPR 0
% 2.08/6.47 % Horn 7
% 2.08/6.47 % unary 7
% 2.08/6.47 % binary 0
% 2.08/6.47 % lits 7
% 2.08/6.47 % lits eq 7
% 2.08/6.47 % fd_pure 0
% 2.08/6.47 % fd_pseudo 0
% 2.08/6.47 % fd_cond 0
% 2.08/6.47 % fd_pseudo_cond 0
% 2.08/6.47 % AC symbols 0
% 2.08/6.47
% 2.08/6.47 % ------ Input Options Time Limit: Unbounded
% 2.08/6.47
% 2.08/6.47
% 2.08/6.47 % ------
% 2.08/6.47 % Current options:
% 2.08/6.47 % ------
% 2.08/6.47
% 2.08/6.47
% 2.08/6.47 %
% 2.08/6.47
% 2.08/6.47 % ------ Proving...
% 2.08/6.47 %
% 2.08/6.47
% 2.08/6.47 % SZS status Unsatisfiable for theBenchmark.p
% 2.08/6.47
% 2.08/6.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.08/6.47
% 2.08/6.47
%------------------------------------------------------------------------------