%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP404-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 01:33:39 PM UTC 2026
% Result : Unsatisfiable 44.21s 21.36s
% Output : CNFRefutation 44.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 10 ( 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 : 140 ( 0 sgn 140 !; 0 ?; 137 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[],[f3]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(X1),X1)))))),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(X1,multiply(inverse(X1),X1))))))) = X2,
inference(superposition,[status(thm)],[c_94,c_51]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(X0,X1)),X3))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X3,
inference(superposition,[status(thm)],[c_94,c_51]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(X1,multiply(inverse(X1),X1))))) = X2,
inference(superposition,[status(thm)],[c_131,c_131]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,inverse(multiply(multiply(X0,X2),multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))) = inverse(multiply(X1,multiply(inverse(X1),X1))),
inference(superposition,[status(thm)],[c_337,c_51]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_337,c_120]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X1),X1))))),multiply(X0,X2)) = multiply(X3,multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X3))),X2)),
inference(superposition,[status(thm)],[c_337,c_383]) ).
tcf(c_550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(X4,X2)),multiply(X4,X2)))))))) = X3,
inference(superposition,[status(thm)],[c_383,c_120]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(inverse(multiply(X3,X1)),X4)) = multiply(inverse(multiply(X5,multiply(X3,X2))),multiply(X5,X4)),
inference(superposition,[status(thm)],[c_383,c_383]) ).
tcf(c_1394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)),
inference(superposition,[status(thm)],[c_510,c_510]) ).
tcf(c_3551,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(X1,multiply(inverse(X1),X1)))) = X2,
inference(superposition,[status(thm)],[c_372,c_550]) ).
tcf(c_3856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_3551,c_1394]) ).
tcf(c_4254,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_3856,c_3856]) ).
tcf(c_4702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(X1,multiply(inverse(X3),X3))))))) = X2,
inference(superposition,[status(thm)],[c_4254,c_120]) ).
tcf(c_4704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X3),X3)))))) = X2,
inference(superposition,[status(thm)],[c_4254,c_51]) ).
tcf(c_4705,plain,
! [X0: $i] : multiply(multiply(inverse(X0),X0),a2) != a2,
inference(superposition,[status(thm)],[c_4254,c_52]) ).
tcf(c_4738,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,multiply(inverse(X1),X1))))) = X1,
inference(superposition,[status(thm)],[c_4254,c_337]) ).
tcf(c_4748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X0)),
inference(superposition,[status(thm)],[c_4254,c_383]) ).
tcf(c_4791,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X1))))) = X1,
inference(superposition,[status(thm)],[c_4254,c_3551]) ).
tcf(c_4851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),a2) != a2,
inference(superposition,[status(thm)],[c_561,c_4705]) ).
tcf(c_4876,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(X1,X2)),multiply(X1,X2))),a2) != a2,
inference(superposition,[status(thm)],[c_4254,c_4851]) ).
tcf(c_5897,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)),a2) != a2,
inference(superposition,[status(thm)],[c_4254,c_4876]) ).
tcf(c_5978,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_4254,c_4738]) ).
tcf(c_6021,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_4254,c_5978]) ).
tcf(c_6085,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_4254,c_4791]) ).
tcf(c_6142,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_4254,c_6085]) ).
tcf(c_6287,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_6142,c_5978]) ).
tcf(c_7530,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_6287,c_6287]) ).
tcf(c_7542,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_6287,c_4254]) ).
tcf(c_12924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),X2)))) = inverse(multiply(X1,multiply(inverse(X3),X3))),
inference(superposition,[status(thm)],[c_4254,c_4702]) ).
tcf(c_14875,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,inverse(multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_6021,c_4704]) ).
tcf(c_15431,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2)))),a2) != a2,
inference(superposition,[status(thm)],[c_14875,c_5897]) ).
tcf(c_19268,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))),a2) != a2,
inference(superposition,[status(thm)],[c_4702,c_15431]) ).
tcf(c_19439,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))),a2) != a2,
inference(superposition,[status(thm)],[c_6142,c_19268]) ).
tcf(c_19630,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2)))),a2) != a2,
inference(superposition,[status(thm)],[c_6287,c_19439]) ).
tcf(c_34867,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_12924,c_7542]) ).
tcf(c_38637,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_34867,c_6085]) ).
tcf(c_38722,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))),a2) != a2,
inference(superposition,[status(thm)],[c_34867,c_19630]) ).
tcf(c_38727,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_34867,c_7530]) ).
tcf(c_43267,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_38727,c_4748]) ).
tcf(c_82020,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_43267,c_38637]) ).
tcf(c_178069,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))),X2) = X2,
inference(superposition,[status(thm)],[c_82020,c_4702]) ).
tcf(c_178096,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_38722,c_178069]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP404-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n007.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 14:38:58 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41 Running UEQ theorem proving
% 0.13/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 44.21/21.36 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 44.21/21.36 % SZS status Started for theBenchmark.p
% 44.21/21.36 % SZS status Unsatisfiable for theBenchmark.p
% 44.21/21.36
% 44.21/21.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 44.21/21.36
% 44.21/21.36 % ------ iProver source info
% 44.21/21.36
% 44.21/21.36 % git: date: 2026-07-19 20:42:38 +0200
% 44.21/21.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 44.21/21.36 % git: non_committed_changes: false
% 44.21/21.36
% 44.21/21.36 % ------ Parsing...% successful
% 44.21/21.36
% 44.21/21.36
% 44.21/21.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 44.21/21.36
% 44.21/21.36 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 44.21/21.36
% 44.21/21.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 44.21/21.36
% 44.21/21.36 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 44.21/21.36 % ------ Proving...
% 44.21/21.36 % ------ Problem Properties
% 44.21/21.36
% 44.21/21.36 %
% 44.21/21.36 % clauses 2
% 44.21/21.36 % conjectures 1
% 44.21/21.36 % EPR 0
% 44.21/21.36 % Horn 2
% 44.21/21.36 % unary 2
% 44.21/21.36 % binary 0
% 44.21/21.36 % lits 2
% 44.21/21.36 % lits eq 2
% 44.21/21.36 % fd_pure 0
% 44.21/21.36 % fd_pseudo 0
% 44.21/21.36 % fd_cond 0
% 44.21/21.36 % fd_pseudo_cond 0
% 44.21/21.36 % AC symbols 0
% 44.21/21.36
% 44.21/21.36 % ------ Input Options Time Limit: Unbounded
% 44.21/21.36
% 44.21/21.36
% 44.21/21.36 % ------
% 44.21/21.36 % Current options:
% 44.21/21.36 % ------
% 44.21/21.36
% 44.21/21.36
% 44.21/21.36 %
% 44.21/21.36
% 44.21/21.36 % ------ Proving...
% 44.21/21.36 %
% 44.21/21.36
% 44.21/21.36 % SZS status Unsatisfiable for theBenchmark.p
% 44.21/21.36
% 44.21/21.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 44.21/21.36
% 44.21/21.36
%------------------------------------------------------------------------------