%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO070-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 01:00:20 PM UTC 2026
% Result : Unsatisfiable 3.59s 1.17s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 10 ( 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 : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 105 ( 0 sgn 105 !; 0 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(a,a,b) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_tba_axioms_4) ).
fof(f3,plain,
a != multiply(a,a,b),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(a,a,b) != a,
inference(cnf_transformation,[],[f3]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,X3,multiply(multiply(X4,inverse(X4),X2),inverse(multiply(multiply(X5,X6,X7),X8,multiply(X5,X6,X9))),X10))),multiply(inverse(multiply(multiply(X5,X6,X7),X8,multiply(X5,X6,X9))),multiply(X10,X3,multiply(X6,multiply(X9,X8,X7),X5)),multiply(X4,inverse(X4),X2))) = X1,
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2),X0) = X1,
inference(superposition,[status(thm)],[c_97,c_51]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),multiply(X5,inverse(multiply(X4,inverse(X4),X6)),X6),multiply(X2,X3,inverse(X4)))),multiply(X3,X5,X2)) = X1,
inference(superposition,[status(thm)],[c_131,c_51]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(X2),multiply(inverse(X3),multiply(X4,inverse(multiply(multiply(X4,X3,X5),multiply(inverse(X3),inverse(multiply(X5,inverse(X5),X6)),X6),multiply(X4,X3,inverse(X5)))),X2),X3)) = X1,
inference(superposition,[status(thm)],[c_243,c_51]) ).
tcf(c_1221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = X1,
inference(superposition,[status(thm)],[c_243,c_546]) ).
tcf(c_1434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = multiply(inverse(X5),X1,X5),
inference(superposition,[status(thm)],[c_1221,c_1221]) ).
tcf(c_1476,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1,X0) = X1,
inference(light_normalisation,[status(thm)],[c_1434,c_1221]) ).
tcf(c_1483,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2) = X0,
inference(demodulation,[status(thm)],[c_131,c_1476]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i] : inverse(multiply(X0,inverse(X0),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_1483,c_1476]) ).
tcf(c_1755,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X1),X1) = X0,
inference(demodulation,[status(thm)],[c_1483,c_1750]) ).
tcf(c_1931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : multiply(X0,inverse(multiply(X1,X2,multiply(multiply(X3,inverse(X3),X1),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),X9))),multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X9,X2,multiply(X5,multiply(X8,X7,X6),X4)),multiply(X3,inverse(X3),X1))) = X0,
inference(superposition,[status(thm)],[c_1755,c_98]) ).
tcf(c_1932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = X0,
inference(superposition,[status(thm)],[c_1755,c_51]) ).
tcf(c_1953,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X0),X1) = X1,
inference(demodulation,[status(thm)],[c_98,c_1931]) ).
tcf(c_1955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,inverse(multiply(X2,X0,X3)),X3),X2) = multiply(X2,X0,X1),
inference(demodulation,[status(thm)],[c_97,c_1932]) ).
tcf(c_1978,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_1476,c_1953]) ).
tcf(c_1984,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(X1,X0,X2)),X1) = multiply(X1,X0,inverse(X2)),
inference(superposition,[status(thm)],[c_1476,c_1955]) ).
tcf(c_2002,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1,inverse(X0)) = multiply(X1,inverse(X1),inverse(X0)),
inference(superposition,[status(thm)],[c_1476,c_1984]) ).
tcf(c_2016,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1,inverse(X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_2002,c_1953]) ).
tcf(c_2037,plain,
! [X0: $i,X1: $i] : multiply(X0,X1,X0) = X0,
inference(superposition,[status(thm)],[c_1978,c_2016]) ).
tcf(c_2047,plain,
! [X0: $i,X1: $i] : multiply(X0,X0,X1) = X0,
inference(superposition,[status(thm)],[c_2037,c_1955]) ).
tcf(c_2051,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_2047]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO070-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n010.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 06:42:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 Running UEQ theorem proving
% 0.12/0.38 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 3.59/1.17 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.59/1.17 % SZS status Started for theBenchmark.p
% 3.59/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.59/1.17
% 3.59/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.59/1.17
% 3.59/1.17 % ------ iProver source info
% 3.59/1.17
% 3.59/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.59/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.59/1.17 % git: non_committed_changes: false
% 3.59/1.17
% 3.59/1.17 % ------ Parsing...% successful
% 3.59/1.17
% 3.59/1.17
% 3.59/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.59/1.17
% 3.59/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.59/1.17
% 3.59/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.59/1.17
% 3.59/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.59/1.17 % ------ Proving...
% 3.59/1.17 % ------ Problem Properties
% 3.59/1.17
% 3.59/1.17 %
% 3.59/1.17 % clauses 2
% 3.59/1.17 % conjectures 1
% 3.59/1.17 % EPR 0
% 3.59/1.17 % Horn 2
% 3.59/1.17 % unary 2
% 3.59/1.17 % binary 0
% 3.59/1.17 % lits 2
% 3.59/1.17 % lits eq 2
% 3.59/1.17 % fd_pure 0
% 3.59/1.17 % fd_pseudo 0
% 3.59/1.17 % fd_cond 0
% 3.59/1.17 % fd_pseudo_cond 0
% 3.59/1.17 % AC symbols 0
% 3.59/1.17
% 3.59/1.17 % ------ Input Options Time Limit: Unbounded
% 3.59/1.17
% 3.59/1.17
% 3.59/1.17 % ------
% 3.59/1.17 % Current options:
% 3.59/1.17 % ------
% 3.59/1.17
% 3.59/1.17
% 3.59/1.17 %
% 3.59/1.17
% 3.59/1.17 % ------ Proving...
% 3.59/1.17 %
% 3.59/1.17
% 3.59/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.59/1.17
% 3.59/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.59/1.17
% 3.59/1.17
%------------------------------------------------------------------------------