%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO029-1 : 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 : n018.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 4.55s 1.27s
% Output : CNFRefutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f3,axiom,
! [X0,X1] : multiply(add(X0,X1),add(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b1) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,add(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2) ).
fof(f6,axiom,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
fof(f7,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f8,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f9,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f10,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f11,negated_conjecture,
add(b,inverse(b)) != add(a,inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_inverse) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : multiply(add(X0,X1),add(X0,inverse(X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,add(X1,add(X0,X2))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,negated_conjecture,
add(b,inverse(b)) != add(a,inverse(a)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_63,c_60]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),multiply(X2,X0)) = add(X0,X1),
inference(superposition,[status(thm)],[c_62,c_60]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,multiply(X2,X0))) = add(X0,X1),
inference(theory_normalisation,[status(thm)],[c_254,c_69,c_67,c_68,c_66]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(X1,inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_67,c_65]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i,X2: $i] : add(X0,add(multiply(X1,X0),X2)) = add(X0,X2),
inference(superposition,[status(thm)],[c_181,c_68]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_67,c_277]) ).
tcf(c_1441,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(superposition,[status(thm)],[c_65,c_309]) ).
tcf(c_1544,plain,
! [X0: $i,X1: $i] : add(inverse(X0),add(X0,X1)) = add(inverse(X0),X0),
inference(superposition,[status(thm)],[c_1441,c_258]) ).
tcf(c_1547,plain,
! [X0: $i,X1: $i] : add(X0,add(X1,inverse(X0))) = add(X0,inverse(X0)),
inference(theory_normalisation,[status(thm)],[c_1544,c_69,c_67,c_68,c_66]) ).
tcf(c_4117,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_1547,c_63]) ).
tcf(c_4210,plain,
! [X0: $i,X1: $i] : add(multiply(X0,add(X1,inverse(X1))),inverse(X0)) = add(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_4117,c_661]) ).
tcf(c_4222,plain,
! [X0: $i,X1: $i] : add(inverse(X0),multiply(X0,add(X1,inverse(X1)))) = add(X1,inverse(X1)),
inference(theory_normalisation,[status(thm)],[c_4210,c_69,c_67,c_68,c_66]) ).
tcf(c_4223,plain,
! [X0: $i,X1: $i] : add(inverse(X0),X0) = add(X1,inverse(X1)),
inference(light_normalisation,[status(thm)],[c_4222,c_4117]) ).
tcf(c_4224,plain,
! [X0: $i,X1: $i] : add(X0,inverse(X0)) = add(X1,inverse(X1)),
inference(theory_normalisation,[status(thm)],[c_4223,c_69,c_67,c_68,c_66]) ).
tcf(c_4229,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_70,c_4224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO029-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.33 % Computer : n018.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Fri Sep 25 06:38:04 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.36 Running UEQ theorem proving
% 0.07/0.36 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
% 0.11/0.37
% 0.11/0.37 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.37
% 0.11/0.37 % Detected problem language: tptp
% 0.11/0.38 % Proving...
% 4.55/1.27 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 4.55/1.27 % SZS status Started for theBenchmark.p
% 4.55/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.55/1.27
% 4.55/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.55/1.27
% 4.55/1.27 % ------ iProver source info
% 4.55/1.27
% 4.55/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.55/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.55/1.27 % git: non_committed_changes: false
% 4.55/1.27
% 4.55/1.27 % ------ Parsing...% successful
% 4.55/1.27
% 4.55/1.27
% 4.55/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.55/1.27
% 4.55/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.55/1.27
% 4.55/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.55/1.27
% 4.55/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.55/1.27 % ------ Proving...
% 4.55/1.27 % ------ Problem Properties
% 4.55/1.27
% 4.55/1.27 %
% 4.55/1.27 % clauses 11
% 4.55/1.27 % conjectures 1
% 4.55/1.27 % EPR 0
% 4.55/1.27 % Horn 11
% 4.55/1.27 % unary 11
% 4.55/1.27 % binary 0
% 4.55/1.27 % lits 11
% 4.55/1.27 % lits eq 11
% 4.55/1.27 % fd_pure 0
% 4.55/1.27 % fd_pseudo 0
% 4.55/1.27 % fd_cond 0
% 4.55/1.27 % fd_pseudo_cond 0
% 4.55/1.27 % AC symbols 2
% 4.55/1.27
% 4.55/1.27 % ------ Input Options Time Limit: Unbounded
% 4.55/1.27
% 4.55/1.27
% 4.55/1.27 % ------
% 4.55/1.27 % Current options:
% 4.55/1.27 % ------
% 4.55/1.27
% 4.55/1.27
% 4.55/1.27 %
% 4.55/1.27
% 4.55/1.27 % ------ Proving...
% 4.55/1.27 %
% 4.55/1.27
% 4.55/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.55/1.27
% 4.55/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.55/1.27
% 4.55/1.27
%------------------------------------------------------------------------------