%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP470-1 : 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 : n012.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 01:34:20 PM UTC 2026
% Result : Unsatisfiable 0.07s 10.99s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 9 ( 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 : 122 ( 0 sgn 122 !; 0 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f4,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(definition_unfolding,[],[f4,f2,f2]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,negated_conjecture,
divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
inference(cnf_transformation,[],[f5]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(divide(X0,X1)),divide(divide(X2,divide(X3,X4)),X0)) = inverse(divide(X2,divide(X1,divide(X4,X3)))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(X0,divide(divide(X1,divide(divide(X2,X3),X0)),divide(X3,X2)))) = X1,
inference(superposition,[status(thm)],[c_97,c_52]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(inverse(divide(X0,divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))))) = X0,
inference(superposition,[status(thm)],[c_97,c_115]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(divide(divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)),divide(X4,divide(X3,X2)))) = inverse(inverse(X4)),
inference(superposition,[status(thm)],[c_52,c_146]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(inverse(X0)),divide(divide(X1,X2),divide(inverse(divide(divide(X3,X4),divide(X1,X2))),divide(X4,X3)))) = X0,
inference(superposition,[status(thm)],[c_168,c_52]) ).
tcf(c_674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(inverse(X0)),divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))) = X0,
inference(superposition,[status(thm)],[c_533,c_533]) ).
tcf(c_1281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(X0),divide(divide(divide(X1,X2),inverse(divide(divide(X2,X1),X3))),inverse(inverse(X0)))) = X3,
inference(superposition,[status(thm)],[c_674,c_52]) ).
tcf(c_1634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(divide(divide(X1,X2),inverse(divide(divide(X2,X1),X3))),inverse(X0))) = X3,
inference(superposition,[status(thm)],[c_115,c_1281]) ).
tcf(c_1755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(inverse(X0),divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2))))) = X0,
inference(superposition,[status(thm)],[c_1634,c_115]) ).
tcf(c_2217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(divide(divide(X0,X1),divide(X2,X3))),divide(X1,X0)),divide(X4,divide(X3,X2))) = inverse(X4),
inference(superposition,[status(thm)],[c_52,c_1755]) ).
tcf(c_3287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(divide(divide(X0,divide(divide(X1,X2),X3)),divide(X2,X1))) = inverse(divide(X0,inverse(X3))),
inference(superposition,[status(thm)],[c_2217,c_115]) ).
tcf(c_3967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0))) = inverse(divide(inverse(divide(X4,X1)),inverse(X4))),
inference(superposition,[status(thm)],[c_97,c_3287]) ).
tcf(c_4018,plain,
! [X0: $i,X1: $i] : inverse(divide(inverse(divide(X0,X1)),inverse(X0))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_3967,c_52]) ).
tcf(c_4308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(inverse(inverse(X0)),divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))) = divide(inverse(divide(X4,X0)),inverse(X4)),
inference(superposition,[status(thm)],[c_4018,c_674]) ).
tcf(c_4314,plain,
! [X0: $i,X1: $i] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(light_normalisation,[status(thm)],[c_4308,c_674]) ).
tcf(c_4431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(X0,divide(divide(X1,X2),X3)),divide(X2,X1)) = divide(X0,inverse(X3)),
inference(superposition,[status(thm)],[c_115,c_4314]) ).
tcf(c_4435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(X0),inverse(inverse(divide(X1,divide(X0,divide(X2,X3)))))) = divide(divide(X3,X2),X1),
inference(superposition,[status(thm)],[c_52,c_4314]) ).
tcf(c_4442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(divide(X0,X1),inverse(divide(divide(X1,X0),X2))),inverse(X3)) = divide(inverse(X2),inverse(X3)),
inference(superposition,[status(thm)],[c_1634,c_4314]) ).
tcf(c_4465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(X0,divide(X1,divide(inverse(X2),inverse(divide(X2,X3)))))),divide(X3,X0)) = X1,
inference(superposition,[status(thm)],[c_4314,c_52]) ).
tcf(c_4466,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),inverse(inverse(divide(X1,X0)))) = inverse(X1),
inference(superposition,[status(thm)],[c_4314,c_4314]) ).
tcf(c_4488,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
inference(demodulation,[status(thm)],[c_115,c_4431]) ).
tcf(c_4492,plain,
! [X0: $i,X1: $i] : divide(X0,divide(inverse(X1),inverse(X0))) = X1,
inference(demodulation,[status(thm)],[c_1634,c_4442]) ).
tcf(c_5014,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,X1)),divide(divide(inverse(X2),inverse(X1)),X0)) = X2,
inference(superposition,[status(thm)],[c_4492,c_52]) ).
tcf(c_5771,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,X1)),divide(X2,X0)) = divide(X1,X2),
inference(superposition,[status(thm)],[c_4314,c_5014]) ).
tcf(c_5796,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(X0),inverse(inverse(divide(X1,X2)))) = divide(divide(inverse(X0),inverse(X2)),X1),
inference(superposition,[status(thm)],[c_5014,c_4314]) ).
tcf(c_6173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(X0),inverse(divide(X0,divide(X1,X2)))),X3) = divide(divide(X2,X1),X3),
inference(demodulation,[status(thm)],[c_4435,c_5796]) ).
tcf(c_6473,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,divide(inverse(X1),inverse(divide(X1,X2)))),X2) = X0,
inference(demodulation,[status(thm)],[c_4465,c_5771]) ).
tcf(c_6645,plain,
! [X0: $i,X1: $i] : divide(divide(inverse(X0),inverse(X0)),X1) = inverse(X1),
inference(demodulation,[status(thm)],[c_4466,c_5796]) ).
tcf(c_6646,plain,
inverse(inverse(a2)) != a2,
inference(demodulation,[status(thm)],[c_53,c_6645]) ).
tcf(c_6649,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_4488,c_6645]) ).
tcf(c_6700,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),inverse(divide(X0,X1))) = inverse(X1),
inference(superposition,[status(thm)],[c_6649,c_6473]) ).
tcf(c_6704,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(X0,X1)),X2) = divide(divide(X1,X0),X2),
inference(demodulation,[status(thm)],[c_6173,c_6700]) ).
tcf(c_6706,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_4314,c_6704]) ).
tcf(c_6753,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_6706,c_6649]) ).
tcf(c_6754,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_6646,c_6753]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP470-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/10.32 % Computer : n012.cluster.edu
% 0.03/10.32 % Model : x86_64 x86_64
% 0.03/10.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.32 % Memory : 8046.5625MB
% 0.03/10.32 % OS : Linux 6.8.0-71-generic
% 0.03/10.32 % CPULimit : 300
% 0.03/10.32 % WCLimit : 300
% 0.03/10.32 % DateTime : Wed Sep 23 14:50:19 UTC 2026
% 0.03/10.33 % CPUTime :
% 0.03/10.33 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/10.34 Running UEQ theorem proving
% 0.03/10.34 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
% 0.03/10.35
% 0.03/10.35 % ======== iProver multi-core TPTP/SMT =========
% 0.03/10.35
% 0.03/10.35 % Detected problem language: tptp
% 0.03/10.36 % Proving...
% 0.07/10.99 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.07/10.99 % SZS status Started for theBenchmark.p
% 0.07/10.99 % SZS status Unsatisfiable for theBenchmark.p
% 0.07/10.99
% 0.07/10.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.07/10.99
% 0.07/10.99 % ------ iProver source info
% 0.07/10.99
% 0.07/10.99 % git: date: 2026-07-19 20:42:38 +0200
% 0.07/10.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.07/10.99 % git: non_committed_changes: false
% 0.07/10.99
% 0.07/10.99 % ------ Parsing...% successful
% 0.07/10.99
% 0.07/10.99
% 0.07/10.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.07/10.99
% 0.07/10.99 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.07/10.99
% 0.07/10.99 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.07/10.99
% 0.07/10.99 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.07/10.99 % ------ Proving...
% 0.07/10.99 % ------ Problem Properties
% 0.07/10.99
% 0.07/10.99 %
% 0.07/10.99 % clauses 2
% 0.07/10.99 % conjectures 1
% 0.07/10.99 % EPR 0
% 0.07/10.99 % Horn 2
% 0.07/10.99 % unary 2
% 0.07/10.99 % binary 0
% 0.07/10.99 % lits 2
% 0.07/10.99 % lits eq 2
% 0.07/10.99 % fd_pure 0
% 0.07/10.99 % fd_pseudo 0
% 0.07/10.99 % fd_cond 0
% 0.07/10.99 % fd_pseudo_cond 0
% 0.07/10.99 % AC symbols 0
% 0.07/10.99
% 0.07/10.99 % ------ Input Options Time Limit: Unbounded
% 0.07/10.99
% 0.07/10.99
% 0.07/10.99 % ------
% 0.07/10.99 % Current options:
% 0.07/10.99 % ------
% 0.07/10.99
% 0.07/10.99
% 0.07/10.99 %
% 0.07/10.99
% 0.07/10.99 % ------ Proving...
% 0.07/10.99 %
% 0.07/10.99
% 0.07/10.99 % SZS status Unsatisfiable for theBenchmark.p
% 0.07/10.99
% 0.07/10.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.07/10.99
% 0.07/10.99
%------------------------------------------------------------------------------