%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP064-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 01:30:38 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.29s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 4
% Syntax : Number of formulae : 57 ( 52 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 15 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 114 !; 0 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,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(f6,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,[],[f5]) ).
tcf(c_53,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,[],[f6]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(cnf_transformation,[],[f4]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_55,c_56]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(demodulation,[status(thm)],[c_54,c_56]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] : divide(inverse(divide(X0,X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_56,c_56]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] : divide(multiply(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_72,c_56]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_72,c_56]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] : multiply(inverse(divide(X0,X0)),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_132,c_72]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_136,c_72]) ).
tcf(c_155,plain,
( ( inverse(inverse(a2)) != a2 )
| ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(demodulation,[status(thm)],[c_53,c_154]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_56,c_73]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = divide(X2,X2),
inference(superposition,[status(thm)],[c_132,c_73]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X0),divide(divide(inverse(X1),X2),inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_132,c_73]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_188,c_72]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(inverse(divide(X0,X0)),X1))) = X1,
inference(superposition,[status(thm)],[c_300,c_137]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_300,c_300]) ).
tcf(c_310,plain,
! [X0: $i] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_306,c_146]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(inverse(inverse(X0))),divide(divide(inverse(X1),X2),divide(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_310,c_73]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(inverse(inverse(X1)))) = divide(X0,X1),
inference(superposition,[status(thm)],[c_310,c_72]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_309,c_300]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(inverse(inverse(X1)))) = divide(inverse(inverse(X0)),X1),
inference(superposition,[status(thm)],[c_337,c_309]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i] : divide(inverse(inverse(X0)),X1) = divide(X0,X1),
inference(light_normalisation,[status(thm)],[c_447,c_337]) ).
tcf(c_593,plain,
! [X0: $i,X1: $i] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_191,c_191]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i] : inverse(multiply(divide(inverse(X0),X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_195,c_56,c_72]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(inverse(X0),X1),inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_72,c_718]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i] : inverse(multiply(divide(X0,X1),X1)) = inverse(X0),
inference(superposition,[status(thm)],[c_449,c_718]) ).
tcf(c_746,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_718,c_727]) ).
tcf(c_747,plain,
( ( 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_155,c_746]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_337,c_746]) ).
tcf(c_828,plain,
! [X0: $i,X1: $i] : inverse(divide(multiply(inverse(X0),X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_722,c_749]) ).
tcf(c_832,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,multiply(X1,X0))) = X1,
inference(superposition,[status(thm)],[c_360,c_828]) ).
tcf(c_916,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_593,c_72]) ).
tcf(c_1032,plain,
! [X0: $i,X1: $i] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_832,c_746]) ).
tcf(c_1255,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_916,c_72]) ).
tcf(c_1263,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_747,c_1255]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X1) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_360,c_1032]) ).
tcf(c_1430,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_1420,c_746]) ).
tcf(c_1481,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_1430,c_72]) ).
tcf(c_1482,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_1481,c_749]) ).
tcf(c_1569,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_1482,c_1032]) ).
tcf(c_1647,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_72,c_1569]) ).
tcf(c_1700,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(inverse(X1),X2)) = multiply(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_1647,c_72]) ).
tcf(c_1748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,divide(divide(inverse(X1),X2),X3)) = multiply(X0,multiply(X3,multiply(X2,X1))),
inference(superposition,[status(thm)],[c_1647,c_1700]) ).
tcf(c_2351,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X0,X2))) = X1,
inference(light_normalisation,[status(thm)],[c_333,c_746]) ).
tcf(c_2352,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(divide(X0,X1),multiply(X1,X2))) = X2,
inference(demodulation,[status(thm)],[c_2351,c_1748]) ).
tcf(c_2381,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(divide(X0,X1),multiply(X1,X2)) = multiply(inverse(inverse(X0)),X2),
inference(superposition,[status(thm)],[c_2352,c_360]) ).
tcf(c_2390,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(divide(X0,X1),multiply(X1,X2)) = multiply(X0,X2),
inference(light_normalisation,[status(thm)],[c_2381,c_746]) ).
tcf(c_3076,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_1430,c_2390]) ).
tcf(c_3109,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1263,c_3076]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP064-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 13:30:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.24/1.29 % SZS status Started for theBenchmark.p
% 1.24/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.29
% 1.24/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.24/1.29
% 1.24/1.29 % ------ iProver source info
% 1.24/1.29
% 1.24/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.24/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.24/1.29 % git: non_committed_changes: false
% 1.24/1.29
% 1.24/1.29 % ------ Parsing...% successful
% 1.24/1.29
% 1.24/1.29
% 1.24/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.24/1.29
% 1.24/1.29 % ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.24/1.29
% 1.24/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.24/1.29
% 1.24/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.24/1.29 % ------ Proving...
% 1.24/1.29 % ------ Problem Properties
% 1.24/1.29
% 1.24/1.29 %
% 1.24/1.29 % clauses 4
% 1.24/1.29 % conjectures 1
% 1.24/1.29 % EPR 0
% 1.24/1.29 % Horn 4
% 1.24/1.29 % unary 3
% 1.24/1.29 % binary 0
% 1.24/1.29 % lits 6
% 1.24/1.29 % lits eq 6
% 1.24/1.29 % fd_pure 0
% 1.24/1.29 % fd_pseudo 0
% 1.24/1.29 % fd_cond 0
% 1.24/1.29 % fd_pseudo_cond 0
% 1.24/1.29 % AC symbols 0
% 1.24/1.29
% 1.24/1.29 % ------ Schedule dynamic 5 is on
% 1.24/1.29
% 1.24/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.24/1.29
% 1.24/1.29
% 1.24/1.29 % ------
% 1.24/1.29 % Current options:
% 1.24/1.29 % ------
% 1.24/1.29
% 1.24/1.29
% 1.24/1.29 %
% 1.24/1.29
% 1.24/1.29 % ------ Proving...
% 1.24/1.29 %
% 1.24/1.29
% 1.24/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.29
% 1.24/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.24/1.29
% 1.24/1.29
%------------------------------------------------------------------------------