%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO034-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 01:00:17 PM UTC 2026
% Result : Unsatisfiable 3.68s 1.19s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 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 : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO001-0.ax',associativity) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO001-0.ax',ternary_multiply_1) ).
fof(f3,axiom,
! [X0,X1] : multiply(X0,X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO001-0.ax',ternary_multiply_2) ).
fof(f5,axiom,
! [X0,X1] : multiply(X0,X1,inverse(X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO001-0.ax',right_inverse) ).
fof(f6,negated_conjecture,
multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_single_axiom) ).
fof(f7,plain,
b != multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)),
inference(reorient_equations,[],[f6]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : multiply(X0,X1,X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : multiply(X0,X0,X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : multiply(X0,X1,inverse(X1)) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)) != b,
inference(cnf_transformation,[],[f7]) ).
tcf(c_77,plain,
multiply(multiply(a,inverse(a),b),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)) != b,
inference(demodulation,[status(thm)],[c_60,c_55]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,X1,multiply(X1,X2,X3)) = multiply(X1,X2,multiply(X0,X1,X3)),
inference(superposition,[status(thm)],[c_56,c_55]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,X1,X2),X3,X1) = multiply(X0,X1,multiply(X2,X3,X1)),
inference(superposition,[status(thm)],[c_56,c_55]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,X1,multiply(X2,X3,inverse(X1))) = multiply(multiply(X0,X1,X2),X3,X0),
inference(superposition,[status(thm)],[c_59,c_55]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,X1,multiply(X2,X0,X1)) = multiply(X2,X0,X1),
inference(superposition,[status(thm)],[c_56,c_124]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X0),X1) = X1,
inference(superposition,[status(thm)],[c_59,c_160]) ).
tcf(c_276,plain,
multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)) != b,
inference(demodulation,[status(thm)],[c_77,c_262]) ).
tcf(c_298,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_262,c_59]) ).
tcf(c_448,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,X1,multiply(inverse(X1),X2,X1)) = multiply(X0,X2,X1),
inference(superposition,[status(thm)],[c_59,c_129]) ).
tcf(c_895,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1,X0) = multiply(X1,X1,X0),
inference(superposition,[status(thm)],[c_448,c_160]) ).
tcf(c_1242,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1,X0) = X1,
inference(demodulation,[status(thm)],[c_895,c_57]) ).
tcf(c_1243,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,X1,X2) = multiply(X0,X2,X1),
inference(demodulation,[status(thm)],[c_448,c_1242]) ).
tcf(c_1244,plain,
multiply(b,multiply(d,multiply(g,f,e),c),inverse(multiply(c,d,multiply(e,f,g)))) != b,
inference(demodulation,[status(thm)],[c_276,c_1243]) ).
tcf(c_1256,plain,
! [X0: $i,X1: $i] : multiply(X0,X1,inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_298,c_1242]) ).
tcf(c_1328,plain,
multiply(b,multiply(d,c,multiply(g,e,f)),inverse(multiply(c,d,multiply(e,f,g)))) != b,
inference(demodulation,[status(thm)],[c_1244,c_1243]) ).
tcf(c_3263,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1,X1),X2,X0) = multiply(X0,X1,X2),
inference(superposition,[status(thm)],[c_1256,c_132]) ).
tcf(c_3373,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,X1,X2) = multiply(X1,X2,X0),
inference(light_normalisation,[status(thm)],[c_3263,c_56]) ).
tcf(c_3393,plain,
multiply(b,multiply(c,multiply(g,e,f),d),inverse(multiply(c,d,multiply(e,f,g)))) != b,
inference(demodulation,[status(thm)],[c_1328,c_3373]) ).
tcf(c_4150,plain,
$false,
inference(ground_joinability,[status(thm)],[c_3393,c_59,c_1243,c_3373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO034-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n026.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 : Fri Sep 25 06:39:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running UEQ theorem proving
% 0.11/0.41 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
% 0.11/0.44 % Proving...
% 3.68/1.19 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.68/1.19 % SZS status Started for theBenchmark.p
% 3.68/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.68/1.19
% 3.68/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.68/1.19
% 3.68/1.19 % ------ iProver source info
% 3.68/1.19
% 3.68/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.68/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.68/1.19 % git: non_committed_changes: false
% 3.68/1.19
% 3.68/1.19 % ------ Parsing...% successful
% 3.68/1.19
% 3.68/1.19
% 3.68/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.68/1.19
% 3.68/1.19 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.68/1.19
% 3.68/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.68/1.19
% 3.68/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.68/1.19 % ------ Proving...
% 3.68/1.19 % ------ Problem Properties
% 3.68/1.19
% 3.68/1.19 %
% 3.68/1.19 % clauses 6
% 3.68/1.19 % conjectures 0
% 3.68/1.19 % EPR 0
% 3.68/1.19 % Horn 6
% 3.68/1.19 % unary 6
% 3.68/1.19 % binary 0
% 3.68/1.19 % lits 6
% 3.68/1.19 % lits eq 6
% 3.68/1.19 % fd_pure 0
% 3.68/1.19 % fd_pseudo 0
% 3.68/1.19 % fd_cond 0
% 3.68/1.19 % fd_pseudo_cond 0
% 3.68/1.19 % AC symbols 0
% 3.68/1.19
% 3.68/1.19 % ------ Input Options Time Limit: Unbounded
% 3.68/1.19
% 3.68/1.19
% 3.68/1.19 % ------
% 3.68/1.19 % Current options:
% 3.68/1.19 % ------
% 3.68/1.19
% 3.68/1.19
% 3.68/1.19 %
% 3.68/1.19
% 3.68/1.19 % ------ Proving...
% 3.68/1.19 %
% 3.68/1.19
% 3.68/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.68/1.19
% 3.68/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.68/1.20
% 3.68/1.20
%------------------------------------------------------------------------------