%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO006-2 : 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 : n002.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 01:00:09 PM UTC 2026
% Result : Unsatisfiable 3.10s 1.26s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_multiply) ).
fof(f4,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity2) ).
fof(f6,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity4) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).
fof(f13,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
fof(f14,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).
fof(f16,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id2) ).
fof(f17,negated_conjecture,
multiply(a,additive_identity) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_identity) ).
fof(f18,plain,
additive_identity != multiply(a,additive_identity),
inference(reorient_equations,[],[f17]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_70,plain,
! [X0: $i] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[],[f7]) ).
tcf(c_74,plain,
! [X0: $i] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[],[f13]) ).
tcf(c_75,plain,
! [X0: $i] : multiply(multiplicative_identity,X0) = X0,
inference(cnf_transformation,[],[f14]) ).
tcf(c_77,plain,
! [X0: $i] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[],[f16]) ).
tcf(c_78,negated_conjecture,
multiply(a,additive_identity) != additive_identity,
inference(cnf_transformation,[],[f18]) ).
tcf(c_122,plain,
multiply(additive_identity,a) != additive_identity,
inference(demodulation,[status(thm)],[c_78,c_65]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[status(thm)],[c_70,c_67]) ).
tcf(c_760,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[status(thm)],[c_74,c_69]) ).
tcf(c_3191,plain,
! [X0: $i] : multiply(additive_identity,add(multiplicative_identity,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_760,c_77]) ).
tcf(c_3458,plain,
! [X0: $i] : multiply(additive_identity,add(X0,multiplicative_identity)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_64,c_3191]) ).
tcf(c_4411,plain,
! [X0: $i,X1: $i] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(demodulation,[status(thm)],[c_258,c_75]) ).
tcf(c_4419,plain,
! [X0: $i] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_74,c_4411]) ).
tcf(c_4462,plain,
! [X0: $i] : add(X0,multiplicative_identity) = multiplicative_identity,
inference(light_normalisation,[status(thm)],[c_4419,c_70]) ).
tcf(c_4481,plain,
! [X0: $i] : multiply(additive_identity,X0) = multiply(additive_identity,multiplicative_identity),
inference(demodulation,[status(thm)],[c_3458,c_4462]) ).
tcf(c_4493,plain,
multiply(additive_identity,multiplicative_identity) != additive_identity,
inference(demodulation,[status(thm)],[c_122,c_4481]) ).
tcf(c_4498,plain,
$false,
inference(ground_joinability,[status(thm)],[c_4493,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO006-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n002.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 06:28:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running UEQ theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.10/1.26 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.10/1.26 % SZS status Started for theBenchmark.p
% 3.10/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.26
% 3.10/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.10/1.26
% 3.10/1.26 % ------ iProver source info
% 3.10/1.26
% 3.10/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 3.10/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.10/1.26 % git: non_committed_changes: false
% 3.10/1.26
% 3.10/1.26 % ------ Parsing...% successful
% 3.10/1.26
% 3.10/1.26
% 3.10/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.10/1.26
% 3.10/1.26 % ------ Preprocessing... sup_sim: 5 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.10/1.26
% 3.10/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.10/1.26
% 3.10/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.10/1.26 % ------ Proving...
% 3.10/1.26 % ------ Problem Properties
% 3.10/1.26
% 3.10/1.26 %
% 3.10/1.26 % clauses 13
% 3.10/1.26 % conjectures 0
% 3.10/1.26 % EPR 0
% 3.10/1.26 % Horn 13
% 3.10/1.26 % unary 13
% 3.10/1.26 % binary 0
% 3.10/1.26 % lits 13
% 3.10/1.26 % lits eq 13
% 3.10/1.26 % fd_pure 0
% 3.10/1.26 % fd_pseudo 0
% 3.10/1.26 % fd_cond 0
% 3.10/1.26 % fd_pseudo_cond 0
% 3.10/1.26 % AC symbols 0
% 3.10/1.26
% 3.10/1.26 % ------ Input Options Time Limit: Unbounded
% 3.10/1.26
% 3.10/1.26
% 3.10/1.26 % ------
% 3.10/1.26 % Current options:
% 3.10/1.26 % ------
% 3.10/1.26
% 3.10/1.26
% 3.10/1.26 %
% 3.10/1.26
% 3.10/1.26 % ------ Proving...
% 3.10/1.26 %
% 3.10/1.26
% 3.10/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.26
% 3.10/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/1.26
% 3.10/1.26
%------------------------------------------------------------------------------