%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP415-1 : 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 : n011.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 01:33:51 PM UTC 2026
% Result : Unsatisfiable 3.84s 16.16s
% Output : CNFRefutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 16 ( 3 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; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[],[f2]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[status(thm)],[c_95,c_51]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_133,c_51]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[status(thm)],[c_289,c_133]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_289,c_51]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),X3)),inverse(multiply(inverse(X0),X0))))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))))))),
inference(superposition,[status(thm)],[c_454,c_454]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X3))))))),X0)),X3)),inverse(multiply(inverse(X0),X0)))))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_470,c_51]) ).
tcf(c_2078,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c_470,c_727]) ).
tcf(c_3805,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))) = X2,
inference(superposition,[status(thm)],[c_610,c_454]) ).
tcf(c_4248,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_2078,c_3805]) ).
tcf(c_5143,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_4248,c_4248]) ).
tcf(c_5260,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_5143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP415-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.12/15.34 % CPULimit : 300
% 0.12/15.34 % WCLimit : 300
% 0.12/15.34 % DateTime : Wed Sep 23 14:42:14 UTC 2026
% 0.12/15.34 % CPUTime :
% 0.12/15.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/15.37 Running UEQ theorem proving
% 0.12/15.37 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
% 0.12/15.39
% 0.12/15.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/15.39
% 0.12/15.39 % Detected problem language: tptp
% 0.25/15.40 % Proving...
% 3.84/16.16 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.84/16.16 % SZS status Started for theBenchmark.p
% 3.84/16.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.84/16.16
% 3.84/16.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.84/16.16
% 3.84/16.16 % ------ iProver source info
% 3.84/16.16
% 3.84/16.16 % git: date: 2026-07-19 20:42:38 +0200
% 3.84/16.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.84/16.16 % git: non_committed_changes: false
% 3.84/16.16
% 3.84/16.16 % ------ Parsing...% successful
% 3.84/16.16
% 3.84/16.16
% 3.84/16.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.84/16.16
% 3.84/16.16 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.84/16.16
% 3.84/16.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.84/16.16
% 3.84/16.16 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.84/16.16 % ------ Proving...
% 3.84/16.16 % ------ Problem Properties
% 3.84/16.16
% 3.84/16.16 %
% 3.84/16.16 % clauses 2
% 3.84/16.16 % conjectures 1
% 3.84/16.16 % EPR 0
% 3.84/16.16 % Horn 2
% 3.84/16.16 % unary 2
% 3.84/16.16 % binary 0
% 3.84/16.16 % lits 2
% 3.84/16.16 % lits eq 2
% 3.84/16.16 % fd_pure 0
% 3.84/16.16 % fd_pseudo 0
% 3.84/16.16 % fd_cond 0
% 3.84/16.16 % fd_pseudo_cond 0
% 3.84/16.16 % AC symbols 0
% 3.84/16.16
% 3.84/16.16 % ------ Input Options Time Limit: Unbounded
% 3.84/16.16
% 3.84/16.16
% 3.84/16.16 % ------
% 3.84/16.16 % Current options:
% 3.84/16.16 % ------
% 3.84/16.16
% 3.84/16.16
% 3.84/16.16 %
% 3.84/16.16
% 3.84/16.16 % ------ Proving...
% 3.84/16.16 %
% 3.84/16.16
% 3.84/16.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.84/16.16
% 3.84/16.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.84/16.16
% 3.84/16.16
%------------------------------------------------------------------------------