%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP096-1 : 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 : n015.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 01:30:43 PM UTC 2026
% Result : Unsatisfiable 4.27s 6.32s
% Output : CNFRefutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 50 ( 39 unt; 0 def)
% Number of atoms : 77 ( 76 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 42 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),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(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(f4,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,[],[f3]) ).
fof(f5,plain,
( divide(a4,inverse(b4)) != divide(b4,inverse(a4))
| 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,f2,f2]) ).
tcf(c_52,negated_conjecture,
( ( divide(a4,inverse(b4)) != divide(b4,inverse(a4)) )
| ( 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] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),inverse(divide(X3,X1))),X2) = X3,
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : divide(X0,inverse(divide(X1,divide(X0,divide(X2,X3))))) = divide(divide(X2,inverse(X1)),X3),
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(superposition,[status(thm)],[c_53,c_113]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,inverse(divide(X1,divide(X0,X2)))) = divide(X2,inverse(X1)),
inference(superposition,[status(thm)],[c_53,c_118]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,inverse(divide(X1,X2))),inverse(divide(X2,X0))) = X1,
inference(superposition,[status(thm)],[c_118,c_53]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_118,c_118]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(demodulation,[status(thm)],[c_53,c_149]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),inverse(X1)) = inverse(divide(X0,X1)),
inference(superposition,[status(thm)],[c_155,c_118]) ).
tcf(c_198,plain,
( ( divide(a4,inverse(b4)) != divide(b4,inverse(a4)) )
| ( divide(inverse(b1),inverse(b1)) != inverse(divide(a1,a1)) )
| ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) )
| ( divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2 ) ),
inference(demodulation,[status(thm)],[c_52,c_196]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(demodulation,[status(thm)],[c_155,c_196]) ).
tcf(c_207,plain,
( ( inverse(divide(a1,a1)) != inverse(divide(b1,b1)) )
| ( divide(a4,inverse(b4)) != divide(b4,inverse(a4)) )
| ( inverse(divide(divide(b2,b2),a2)) != a2 )
| ( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) ) ),
inference(demodulation,[status(thm)],[c_198,c_196]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,inverse(X1)),X2) = divide(divide(X0,X2),inverse(X1)),
inference(demodulation,[status(thm)],[c_115,c_149]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1),
inference(superposition,[status(thm)],[c_199,c_216]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,inverse(divide(divide(X1,X0),X2))) = divide(X1,X2),
inference(superposition,[status(thm)],[c_199,c_149]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,inverse(X1)),X2) = divide(X1,divide(X2,X0)),
inference(superposition,[status(thm)],[c_149,c_157]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,X1)) = X0,
inference(demodulation,[status(thm)],[c_157,c_249]) ).
tcf(c_253,plain,
( ( inverse(divide(a1,a1)) != inverse(divide(b1,b1)) )
| ( divide(a4,inverse(b4)) != divide(b4,inverse(a4)) )
| ( inverse(divide(divide(b2,b2),a2)) != a2 )
| ( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(b3,divide(inverse(c3),a3)) ) ),
inference(demodulation,[status(thm)],[c_207,c_249]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(inverse(divide(X1,X2)),X2)) = X0,
inference(demodulation,[status(thm)],[c_153,c_249]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(divide(X1,X1))) = X0,
inference(superposition,[status(thm)],[c_273,c_252]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_252,c_118]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i] : inverse(divide(divide(X0,X0),X1)) = X1,
inference(superposition,[status(thm)],[c_252,c_199]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_360,c_358]) ).
tcf(c_518,plain,
( ( inverse(divide(a1,a1)) != inverse(divide(b1,b1)) )
| ( divide(a4,inverse(b4)) != divide(b4,inverse(a4)) )
| ( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(b3,divide(inverse(c3),a3)) ) ),
inference(ground_joinability,[status(thm)],[c_253,c_364]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,inverse(divide(X1,X1))) = divide(X2,divide(X2,X0)),
inference(superposition,[status(thm)],[c_364,c_149]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_592,c_358]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_599,c_149]) ).
tcf(c_626,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_599,c_199]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_599,c_364]) ).
tcf(c_632,plain,
( ( inverse(divide(b1,b1)) != divide(a1,a1) )
| ( divide(a4,inverse(b4)) != divide(b4,inverse(a4)) )
| ( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(b3,divide(inverse(c3),a3)) ) ),
inference(demodulation,[status(thm)],[c_518,c_626]) ).
tcf(c_635,plain,
( ( inverse(divide(b1,b1)) != divide(a1,a1) )
| ( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(b3,divide(inverse(c3),a3)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_632,c_624]) ).
tcf(c_643,plain,
( ( divide(a1,a1) != divide(b1,b1) )
| ( divide(a3,divide(inverse(c3),b3)) != divide(b3,divide(inverse(c3),a3)) ) ),
inference(demodulation,[status(thm)],[c_635,c_626]) ).
tcf(c_644,plain,
divide(a3,divide(inverse(c3),b3)) != divide(b3,divide(inverse(c3),a3)),
inference(forward_subsumption_resolution,[status(thm)],[c_643,c_449]) ).
tcf(c_1312,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X0),X1),X2) = divide(inverse(X2),X1),
inference(superposition,[status(thm)],[c_627,c_228]) ).
tcf(c_1332,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,inverse(X1)),X2) = divide(X1,inverse(divide(X0,X2))),
inference(superposition,[status(thm)],[c_228,c_624]) ).
tcf(c_1337,plain,
! [X0: $i,X1: $i] : divide(inverse(X0),X1) = divide(inverse(X1),X0),
inference(light_normalisation,[status(thm)],[c_1312,c_627]) ).
tcf(c_1338,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,inverse(divide(X1,X2))) = divide(X0,divide(X2,X1)),
inference(light_normalisation,[status(thm)],[c_1332,c_249]) ).
tcf(c_1340,plain,
divide(a3,divide(inverse(c3),b3)) != divide(b3,divide(inverse(a3),c3)),
inference(demodulation,[status(thm)],[c_644,c_1337]) ).
tcf(c_1359,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,divide(X2,X0))) = divide(X2,X1),
inference(demodulation,[status(thm)],[c_243,c_1338]) ).
tcf(c_1385,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = divide(X2,divide(X1,X0)),
inference(superposition,[status(thm)],[c_1359,c_599]) ).
tcf(c_1480,plain,
divide(a3,divide(inverse(b3),c3)) != divide(b3,divide(inverse(a3),c3)),
inference(demodulation,[status(thm)],[c_1340,c_1337]) ).
tcf(c_2240,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(inverse(X1),X2)) = divide(X1,divide(inverse(X2),X0)),
inference(superposition,[status(thm)],[c_1337,c_1385]) ).
tcf(c_2296,plain,
divide(a3,divide(inverse(b3),c3)) != divide(a3,divide(inverse(c3),b3)),
inference(demodulation,[status(thm)],[c_1480,c_2240]) ).
tcf(c_2297,plain,
$false,
inference(ground_joinability,[status(thm)],[c_2296,c_1337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP096-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.39 % Computer : n015.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Wed Sep 23 13:34:15 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 4.27/6.32 % SZS status Started for theBenchmark.p
% 4.27/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.27/6.32
% 4.27/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.27/6.32
% 4.27/6.32 % ------ iProver source info
% 4.27/6.32
% 4.27/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.27/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.27/6.32 % git: non_committed_changes: false
% 4.27/6.32
% 4.27/6.32 % ------ Parsing...% successful
% 4.27/6.32
% 4.27/6.32
% 4.27/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.27/6.32
% 4.27/6.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.27/6.32
% 4.27/6.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.27/6.32
% 4.27/6.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.27/6.32 % ------ Proving...
% 4.27/6.32 % ------ Problem Properties
% 4.27/6.32
% 4.27/6.32 %
% 4.27/6.32 % clauses 2
% 4.27/6.32 % conjectures 1
% 4.27/6.32 % EPR 0
% 4.27/6.32 % Horn 2
% 4.27/6.32 % unary 1
% 4.27/6.32 % binary 0
% 4.27/6.32 % lits 5
% 4.27/6.32 % lits eq 5
% 4.27/6.32 % fd_pure 0
% 4.27/6.32 % fd_pseudo 0
% 4.27/6.32 % fd_cond 0
% 4.27/6.32 % fd_pseudo_cond 0
% 4.27/6.32 % AC symbols 0
% 4.27/6.32
% 4.27/6.32 % ------ Schedule dynamic 5 is on
% 4.27/6.32
% 4.27/6.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.27/6.32
% 4.27/6.32
% 4.27/6.32 % ------
% 4.27/6.32 % Current options:
% 4.27/6.32 % ------
% 4.27/6.32
% 4.27/6.32
% 4.27/6.32 %
% 4.27/6.32
% 4.27/6.32 % ------ Proving...
% 4.27/6.32 %
% 4.27/6.32
% 4.27/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.27/6.32
% 4.27/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.27/6.32
% 4.27/6.32
%------------------------------------------------------------------------------