%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP085-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 01:30:41 PM UTC 2026
% Result : Unsatisfiable 3.37s 6.10s
% Output : CNFRefutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 37 ( 29 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 27 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| 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/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(a4,b4) != multiply(b4,a4)
| 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(a4,b4) != multiply(b4,a4) )
| ( 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(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,X1),inverse(multiply(multiply(multiply(X2,X0),X3),X1))) = inverse(multiply(X2,X3)),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2))))) = X2,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,inverse(multiply(X1,X2))),inverse(X0)) = inverse(multiply(X1,X2)),
inference(superposition,[status(thm)],[c_52,c_114]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(X0,multiply(X1,inverse(multiply(multiply(X0,X1),X2))))) = X2,
inference(superposition,[status(thm)],[c_114,c_115]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_168,c_153]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_300,c_52]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_339,c_300]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(multiply(X0,inverse(X0)),X1),X2),inverse(X2)) = X1,
inference(superposition,[status(thm)],[c_523,c_52]) ).
tcf(c_751,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(light_normalisation,[status(thm)],[c_743,c_523]) ).
tcf(c_788,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(inverse(multiply(X1,X2)))) = multiply(multiply(X1,X0),X2),
inference(superposition,[status(thm)],[c_52,c_751]) ).
tcf(c_790,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(inverse(X1))) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_300,c_751]) ).
tcf(c_793,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_523,c_751]) ).
tcf(c_811,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_751,c_523]) ).
tcf(c_901,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_811,c_523]) ).
tcf(c_902,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[status(thm)],[c_811,c_300]) ).
tcf(c_903,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_811,c_751]) ).
tcf(c_905,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_901]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_902,c_751]) ).
tcf(c_1014,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(b1),b1) != multiply(a1,inverse(a1)) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(demodulation,[status(thm)],[c_905,c_1004]) ).
tcf(c_1024,plain,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(demodulation,[status(thm)],[c_1014,c_1004]) ).
tcf(c_1034,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_902,c_903]) ).
tcf(c_1040,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_1034,c_811]) ).
tcf(c_1041,plain,
( ( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1024,c_1040]) ).
tcf(c_1048,plain,
( ( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) )
| ( multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)) ) ),
inference(demodulation,[status(thm)],[c_1041,c_1040]) ).
tcf(c_1070,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(demodulation,[status(thm)],[c_788,c_790]) ).
tcf(c_1090,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(multiply(X1,X2),X0),
inference(superposition,[status(thm)],[c_1040,c_1070]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_1070,c_1040]) ).
tcf(c_1244,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(backward_subsumption_resolution,[status(thm)],[c_1048,c_793]) ).
tcf(c_1610,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(light_normalisation,[status(thm)],[c_1090,c_1105]) ).
tcf(c_1643,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_1610,c_1040]) ).
tcf(c_1659,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(demodulation,[status(thm)],[c_1244,c_1643]) ).
tcf(c_1661,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1659,c_1040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP085-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.39 % Computer : n002.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Wed Sep 23 13:31:53 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.44
% 0.15/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.46 % Proving...
% 3.37/6.10 % SZS status Started for theBenchmark.p
% 3.37/6.10 % SZS status Unsatisfiable for theBenchmark.p
% 3.37/6.10
% 3.37/6.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.37/6.10
% 3.37/6.10 % ------ iProver source info
% 3.37/6.10
% 3.37/6.10 % git: date: 2026-07-19 20:42:38 +0200
% 3.37/6.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.37/6.10 % git: non_committed_changes: false
% 3.37/6.10
% 3.37/6.10 % ------ Parsing...% successful
% 3.37/6.10
% 3.37/6.10
% 3.37/6.10 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.37/6.10
% 3.37/6.10 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.37/6.10
% 3.37/6.10 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.37/6.10
% 3.37/6.10 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.37/6.10 % ------ Proving...
% 3.37/6.10 % ------ Problem Properties
% 3.37/6.10
% 3.37/6.10 %
% 3.37/6.10 % clauses 2
% 3.37/6.10 % conjectures 1
% 3.37/6.10 % EPR 0
% 3.37/6.10 % Horn 2
% 3.37/6.10 % unary 1
% 3.37/6.10 % binary 0
% 3.37/6.10 % lits 5
% 3.37/6.10 % lits eq 5
% 3.37/6.10 % fd_pure 0
% 3.37/6.10 % fd_pseudo 0
% 3.37/6.10 % fd_cond 0
% 3.37/6.10 % fd_pseudo_cond 0
% 3.37/6.10 % AC symbols 0
% 3.37/6.10
% 3.37/6.10 % ------ Schedule dynamic 5 is on
% 3.37/6.10
% 3.37/6.10 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.37/6.10
% 3.37/6.10
% 3.37/6.10 % ------
% 3.37/6.10 % Current options:
% 3.37/6.10 % ------
% 3.37/6.10
% 3.37/6.10
% 3.37/6.10 %
% 3.37/6.10
% 3.37/6.10 % ------ Proving...
% 3.37/6.10 %
% 3.37/6.10
% 3.37/6.10 % SZS status Unsatisfiable for theBenchmark.p
% 3.37/6.10
% 3.37/6.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.37/6.10
% 3.37/6.10
%------------------------------------------------------------------------------