%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP072-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 01:30:39 PM UTC 2026
% Result : Unsatisfiable 2.85s 6.22s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 45 ( 39 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 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 : 137 ( 0 sgn 137 !; 0 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,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,[],[f3]) ).
fof(f5,plain,
( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
tcf(c_52,negated_conjecture,
( ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) )
| ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) )
| ( divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),divide(X2,X1)) = divide(X5,X4),
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(divide(divide(X0,X1),X2)),X3),divide(divide(divide(X1,X0),X4),inverse(divide(X4,X3)))) = X2,
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),divide(X2,X1)) = divide(divide(X6,X7),divide(inverse(X8),divide(divide(X7,X6),divide(inverse(divide(X9,X8)),divide(divide(X5,X4),X9))))),
inference(superposition,[status(thm)],[c_110,c_110]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(X0,X1),divide(inverse(X2),divide(divide(X1,X0),divide(inverse(divide(X3,X2)),divide(divide(X4,X5),X3))))) = divide(X4,X5),
inference(light_normalisation,[status(thm)],[c_201,c_110]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(X0,X1),divide(inverse(X2),divide(divide(X1,X0),divide(inverse(divide(X3,X2)),divide(X4,X3))))) = X4,
inference(superposition,[status(thm)],[c_112,c_211]) ).
tcf(c_771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(inverse(divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(X4,X3)))),X5)),X4),divide(X1,X2)) = X5,
inference(superposition,[status(thm)],[c_701,c_53]) ).
tcf(c_2173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(divide(divide(inverse(X0),divide(X1,divide(inverse(divide(X2,X0)),divide(X3,X2)))),X4)),X3),X1) = X4,
inference(superposition,[status(thm)],[c_771,c_771]) ).
tcf(c_2656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),divide(X2,X3)) = divide(X3,X2),
inference(superposition,[status(thm)],[c_110,c_2173]) ).
tcf(c_3139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),divide(X2,X3)) = divide(divide(X3,X2),divide(inverse(divide(X4,X5)),divide(X5,X4))),
inference(superposition,[status(thm)],[c_2656,c_2656]) ).
tcf(c_3144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)),divide(divide(X3,X4),inverse(divide(X4,X3)))) = X2,
inference(superposition,[status(thm)],[c_2656,c_53]) ).
tcf(c_3168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
inference(superposition,[status(thm)],[c_2656,c_112]) ).
tcf(c_3193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(X3,X2))) = divide(X0,X1),
inference(light_normalisation,[status(thm)],[c_3139,c_2656]) ).
tcf(c_4397,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(inverse(divide(X1,X2)),divide(X2,X1))) = X0,
inference(superposition,[status(thm)],[c_2173,c_3193]) ).
tcf(c_4586,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(inverse(divide(divide(inverse(X0),X1),X2)),X0),X1) = X2,
inference(superposition,[status(thm)],[c_4397,c_2173]) ).
tcf(c_4592,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(inverse(X2),divide(X1,X0))) = X2,
inference(superposition,[status(thm)],[c_4397,c_701]) ).
tcf(c_4606,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(X0),divide(divide(X1,X2),X0)) = inverse(divide(X1,X2)),
inference(superposition,[status(thm)],[c_4397,c_3168]) ).
tcf(c_5228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(X0,divide(X1,X2)),X3) = divide(X0,divide(X3,divide(X2,X1))),
inference(superposition,[status(thm)],[c_3168,c_4592]) ).
tcf(c_5272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : divide(divide(inverse(X0),X1),divide(divide(divide(X2,X3),X4),inverse(divide(X4,X1)))) = divide(inverse(X0),divide(X2,X3)),
inference(superposition,[status(thm)],[c_4592,c_112]) ).
tcf(c_5299,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(inverse(X2),divide(X1,X2))) = X0,
inference(superposition,[status(thm)],[c_4592,c_701]) ).
tcf(c_5313,plain,
! [X0: $i,X1: $i,X2: $i] : divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)) = X2,
inference(demodulation,[status(thm)],[c_112,c_5272]) ).
tcf(c_6169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)) = inverse(divide(divide(X2,X3),X1)),
inference(superposition,[status(thm)],[c_5313,c_3168]) ).
tcf(c_6173,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(divide(divide(X0,X1),divide(X2,divide(X1,X0)))) = X2,
inference(demodulation,[status(thm)],[c_3168,c_6169]) ).
tcf(c_6598,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,inverse(X2))) = divide(divide(X0,X2),X1),
inference(superposition,[status(thm)],[c_6173,c_4586]) ).
tcf(c_6889,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),divide(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_4586,c_4606]) ).
tcf(c_6908,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_5299,c_6889]) ).
tcf(c_6912,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X2),inverse(divide(X2,X1)))) = X0,
inference(light_normalisation,[status(thm)],[c_3144,c_5313]) ).
tcf(c_6913,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X2),divide(X1,X2))) = X0,
inference(demodulation,[status(thm)],[c_6912,c_5228,c_6598]) ).
tcf(c_6934,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_6913,c_6913]) ).
tcf(c_6973,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_6934,c_4592]) ).
tcf(c_6976,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_6934,c_6173]) ).
tcf(c_6979,plain,
( ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) )
| ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_6973]) ).
tcf(c_7153,plain,
( ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) )
| ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)) ) ),
inference(demodulation,[status(thm)],[c_6979,c_6976]) ).
tcf(c_7167,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_6934,c_6976]) ).
tcf(c_7173,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_6973,c_7167]) ).
tcf(c_7213,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,inverse(X1)),X2) = divide(X0,divide(X2,X1)),
inference(superposition,[status(thm)],[c_7173,c_6598]) ).
tcf(c_7215,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference(backward_subsumption_resolution,[status(thm)],[c_7153,c_7213]) ).
tcf(c_7256,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),inverse(X0)) = divide(X1,X1),
inference(superposition,[status(thm)],[c_7167,c_6908]) ).
tcf(c_7267,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_7215,c_7256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP072-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n008.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 13:28:14 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 2.85/6.22 % SZS status Started for theBenchmark.p
% 2.85/6.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.85/6.22
% 2.85/6.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.85/6.22
% 2.85/6.22 % ------ iProver source info
% 2.85/6.22
% 2.85/6.22 % git: date: 2026-07-19 20:42:38 +0200
% 2.85/6.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.85/6.22 % git: non_committed_changes: false
% 2.85/6.22
% 2.85/6.22 % ------ Parsing...% successful
% 2.85/6.22
% 2.85/6.22
% 2.85/6.22 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.85/6.22
% 2.85/6.22 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.85/6.22
% 2.85/6.22 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.85/6.22
% 2.85/6.22 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.85/6.22 % ------ Proving...
% 2.85/6.22 % ------ Problem Properties
% 2.85/6.22
% 2.85/6.22 %
% 2.85/6.22 % clauses 2
% 2.85/6.22 % conjectures 1
% 2.85/6.22 % EPR 0
% 2.85/6.22 % Horn 2
% 2.85/6.22 % unary 1
% 2.85/6.22 % binary 0
% 2.85/6.22 % lits 4
% 2.85/6.22 % lits eq 4
% 2.85/6.22 % fd_pure 0
% 2.85/6.22 % fd_pseudo 0
% 2.85/6.22 % fd_cond 0
% 2.85/6.22 % fd_pseudo_cond 0
% 2.85/6.22 % AC symbols 0
% 2.85/6.22
% 2.85/6.22 % ------ Schedule dynamic 5 is on
% 2.85/6.22
% 2.85/6.22 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.85/6.22
% 2.85/6.22
% 2.85/6.22 % ------
% 2.85/6.22 % Current options:
% 2.85/6.22 % ------
% 2.85/6.22
% 2.85/6.22
% 2.85/6.22 %
% 2.85/6.22
% 2.85/6.22 % ------ Proving...
% 2.85/6.22 %
% 2.85/6.22
% 2.85/6.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.85/6.22
% 2.85/6.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.85/6.22
% 2.85/6.22
%------------------------------------------------------------------------------