%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP050-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 01:30:13 PM UTC 2026
% Result : Unsatisfiable 32.82s 7.41s
% Output : CNFRefutation 32.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of formulae : 49 ( 45 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 129 !; 0 ?; 126 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,negated_conjecture,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X2,
inference(superposition,[status(thm)],[c_108,c_52]) ).
tcf(c_147,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))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[status(thm)],[c_108,c_52]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(inverse(X1),multiply(inverse(X1),X1)))) = X2,
inference(superposition,[status(thm)],[c_147,c_147]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,multiply(inverse(multiply(X0,X2)),multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))) = multiply(inverse(X1),multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_315,c_52]) ).
tcf(c_371,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_315,c_136]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(X0,multiply(inverse(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_315,c_371]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X1),X1)))))) = multiply(inverse(X1),X3),
inference(superposition,[status(thm)],[c_371,c_136]) ).
tcf(c_1113,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_360,c_136]) ).
tcf(c_2646,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X0),multiply(inverse(X0),X0)))) = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X0),X0)))),
inference(superposition,[status(thm)],[c_509,c_315]) ).
tcf(c_6569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2)))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,multiply(inverse(X2),X2)))),
inference(superposition,[status(thm)],[c_2646,c_2646]) ).
tcf(c_7408,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,multiply(inverse(X1),multiply(inverse(X1),X1)))),multiply(X0,multiply(inverse(X1),multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_1113,c_459]) ).
tcf(c_8713,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_7408,c_7408]) ).
tcf(c_8824,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_8713]) ).
tcf(c_8997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X3),X3))))) = X2,
inference(superposition,[status(thm)],[c_8713,c_52]) ).
tcf(c_9030,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),multiply(inverse(X1),X1)))) = X1,
inference(superposition,[status(thm)],[c_8713,c_315]) ).
tcf(c_9906,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_8713,c_9030]) ).
tcf(c_9947,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_8713,c_9906]) ).
tcf(c_10019,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_9906,c_9906]) ).
tcf(c_10020,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_9906,c_6569]) ).
tcf(c_10258,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_9947,c_8713]) ).
tcf(c_10298,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_9947,c_371]) ).
tcf(c_15365,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),multiply(inverse(X2),X2))) = X1,
inference(superposition,[status(thm)],[c_10258,c_10020]) ).
tcf(c_35482,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(multiply(X0,multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_10019,c_15365]) ).
tcf(c_38089,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_35482,c_10019]) ).
tcf(c_38229,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(multiply(inverse(X0),X0),X1))),multiply(inverse(X2),X2)) = X1,
inference(superposition,[status(thm)],[c_35482,c_15365]) ).
tcf(c_41287,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1))),X2)) = inverse(X2),
inference(superposition,[status(thm)],[c_8997,c_38089]) ).
tcf(c_44833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1))),X2))),multiply(inverse(X3),X3)) = X2,
inference(superposition,[status(thm)],[c_35482,c_38229]) ).
tcf(c_44990,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_44833,c_41287]) ).
tcf(c_44992,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(demodulation,[status(thm)],[c_38229,c_44990]) ).
tcf(c_44993,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_8824,c_44992]) ).
tcf(c_45001,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(demodulation,[status(thm)],[c_10019,c_44992]) ).
tcf(c_45501,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_10298,c_44992]) ).
tcf(c_45561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),X2) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_44992,c_371]) ).
tcf(c_45589,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(light_normalisation,[status(thm)],[c_45561,c_44992]) ).
tcf(c_53993,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_45001,c_45589]) ).
tcf(c_54125,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_45589,c_45001]) ).
tcf(c_54128,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_53993,c_45501]) ).
tcf(c_54208,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_45589,c_54128]) ).
tcf(c_54219,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X1)),X2) = multiply(inverse(X1),multiply(X0,X2)),
inference(superposition,[status(thm)],[c_54128,c_45589]) ).
tcf(c_54231,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X1),X2) = multiply(inverse(X0),multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_54219,c_54125]) ).
tcf(c_54237,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_44992,c_54231]) ).
tcf(c_57751,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_54237,c_54208]) ).
tcf(c_57774,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_44993,c_57751]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP050-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 % Computer : n019.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Wed Sep 23 13:24:19 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.46
% 0.13/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.46
% 0.13/0.47 % Detected problem language: tptp
% 0.20/0.48 % Proving...
% 32.82/7.41 % SZS status Started for theBenchmark.p
% 32.82/7.41 % SZS status Unsatisfiable for theBenchmark.p
% 32.82/7.41
% 32.82/7.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 32.82/7.41
% 32.82/7.41 % ------ iProver source info
% 32.82/7.41
% 32.82/7.41 % git: date: 2026-07-19 20:42:38 +0200
% 32.82/7.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 32.82/7.41 % git: non_committed_changes: false
% 32.82/7.41
% 32.82/7.41 % ------ Parsing...% successful
% 32.82/7.41
% 32.82/7.41
% 32.82/7.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 32.82/7.41
% 32.82/7.41 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 32.82/7.41
% 32.82/7.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 32.82/7.41
% 32.82/7.41 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 32.82/7.41 % ------ Proving...
% 32.82/7.41 % ------ Problem Properties
% 32.82/7.41
% 32.82/7.41 %
% 32.82/7.41 % clauses 2
% 32.82/7.41 % conjectures 1
% 32.82/7.41 % EPR 0
% 32.82/7.41 % Horn 2
% 32.82/7.41 % unary 1
% 32.82/7.41 % binary 0
% 32.82/7.41 % lits 4
% 32.82/7.41 % lits eq 4
% 32.82/7.41 % fd_pure 0
% 32.82/7.41 % fd_pseudo 0
% 32.82/7.41 % fd_cond 0
% 32.82/7.41 % fd_pseudo_cond 0
% 32.82/7.41 % AC symbols 0
% 32.82/7.41
% 32.82/7.41 % ------ Schedule dynamic 5 is on
% 32.82/7.41
% 32.82/7.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.82/7.41
% 32.82/7.41
% 32.82/7.41 % ------
% 32.82/7.41 % Current options:
% 32.82/7.41 % ------
% 32.82/7.41
% 32.82/7.41
% 32.82/7.41 %
% 32.82/7.41
% 32.82/7.41 % ------ Proving...
% 32.82/7.41 %
% 32.82/7.41
% 32.82/7.41 % SZS status Unsatisfiable for theBenchmark.p
% 32.82/7.41
% 32.82/7.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.82/7.41
% 32.82/7.41
%------------------------------------------------------------------------------