%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP080-1 : 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 : n001.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 3.66s 1.20s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 46 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 25 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2]) ).
fof(f8,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
tcf(c_54,negated_conjecture,
( ( double_divide(double_divide(a2,identity),identity) != a2 )
| ( double_divide(double_divide(a1,double_divide(a1,identity)),identity) != identity )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,identity)) = identity,
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,plain,
( ( double_divide(identity,identity) != identity )
| ( double_divide(double_divide(a2,identity),identity) != a2 )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(demodulation,[status(thm)],[c_54,c_56]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(superposition,[status(thm)],[c_56,c_55]) ).
tcf(c_112,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_56,c_55]) ).
tcf(c_118,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_119,plain,
( ( double_divide(double_divide(a2,identity),identity) != a2 )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_69,c_118]) ).
tcf(c_131,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(double_divide(X0,identity),identity)) = identity,
inference(superposition,[status(thm)],[c_118,c_55]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(light_normalisation,[status(thm)],[c_110,c_118]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(identity,double_divide(double_divide(double_divide(double_divide(X0,double_divide(X1,X2)),identity),X1),identity)) = double_divide(identity,double_divide(X2,double_divide(X0,identity))),
inference(superposition,[status(thm)],[c_55,c_142]) ).
tcf(c_145,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),identity)) = X0,
inference(superposition,[status(thm)],[c_56,c_142]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,double_divide(X0,X1)),double_divide(X2,identity)),identity)) = X2,
inference(superposition,[status(thm)],[c_142,c_55]) ).
tcf(c_178,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[status(thm)],[c_145,c_142]) ).
tcf(c_181,plain,
( ( double_divide(identity,double_divide(a2,identity)) != a2 )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(demodulation,[status(thm)],[c_119,c_178]) ).
tcf(c_200,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(light_normalisation,[status(thm)],[c_112,c_118]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = double_divide(double_divide(identity,X1),identity),
inference(superposition,[status(thm)],[c_142,c_200]) ).
tcf(c_207,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,X0),identity)) = double_divide(identity,double_divide(identity,double_divide(X0,identity))),
inference(superposition,[status(thm)],[c_200,c_142]) ).
tcf(c_208,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),identity) = double_divide(identity,double_divide(identity,double_divide(X0,identity))),
inference(superposition,[status(thm)],[c_200,c_200]) ).
tcf(c_212,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
inference(demodulation,[status(thm)],[c_200,c_208]) ).
tcf(c_213,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(light_normalisation,[status(thm)],[c_212,c_178]) ).
tcf(c_311,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,double_divide(X0,identity))) = identity,
inference(light_normalisation,[status(thm)],[c_131,c_178]) ).
tcf(c_316,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),X0) = identity,
inference(superposition,[status(thm)],[c_142,c_311]) ).
tcf(c_329,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(X0,identity),identity)) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_316,c_142]) ).
tcf(c_332,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(identity,X0),
inference(light_normalisation,[status(thm)],[c_329,c_178]) ).
tcf(c_379,plain,
! [X0: $i] : double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity)) = double_divide(X0,identity),
inference(superposition,[status(thm)],[c_178,c_142]) ).
tcf(c_385,plain,
! [X0: $i] : double_divide(X0,identity) = double_divide(identity,X0),
inference(light_normalisation,[status(thm)],[c_379,c_207,c_332]) ).
tcf(c_387,plain,
( ( double_divide(identity,double_divide(identity,a2)) != a2 )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(demodulation,[status(thm)],[c_181,c_385]) ).
tcf(c_398,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),X0) = identity,
inference(superposition,[status(thm)],[c_385,c_316]) ).
tcf(c_401,plain,
( ( double_divide(identity,double_divide(identity,a2)) != a2 )
| ( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) ) ),
inference(demodulation,[status(thm)],[c_387,c_385]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = double_divide(identity,double_divide(identity,X1)),
inference(demodulation,[status(thm)],[c_202,c_385]) ).
tcf(c_421,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(X0,identity),
inference(superposition,[status(thm)],[c_398,c_414]) ).
tcf(c_473,plain,
! [X0: $i] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(light_normalisation,[status(thm)],[c_213,c_421]) ).
tcf(c_480,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_473,c_414]) ).
tcf(c_484,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(backward_subsumption_resolution,[status(thm)],[c_401,c_480]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_414,c_480]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_485,c_485]) ).
tcf(c_816,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,double_divide(X1,identity)))) = X1,
inference(demodulation,[status(thm)],[c_147,c_385,c_485]) ).
tcf(c_819,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X0,double_divide(X1,identity)))) = X1,
inference(superposition,[status(thm)],[c_385,c_816]) ).
tcf(c_833,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(X0,double_divide(X1,identity))) = double_divide(X1,double_divide(identity,X0)),
inference(superposition,[status(thm)],[c_816,c_495]) ).
tcf(c_889,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,X0))) = X1,
inference(light_normalisation,[status(thm)],[c_819,c_833]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),X1) = double_divide(double_divide(identity,X0),X1),
inference(superposition,[status(thm)],[c_495,c_889]) ).
tcf(c_906,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1)),
inference(superposition,[status(thm)],[c_889,c_495]) ).
tcf(c_1344,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,X2))),X1) = double_divide(X0,double_divide(identity,X2)),
inference(demodulation,[status(thm)],[c_144,c_480,c_833,c_898,c_906]) ).
tcf(c_1367,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(X0,X1)),X2) = double_divide(X0,double_divide(identity,double_divide(X1,X2))),
inference(superposition,[status(thm)],[c_485,c_1344]) ).
tcf(c_1405,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(demodulation,[status(thm)],[c_484,c_1367]) ).
tcf(c_1406,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP080-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n001.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 13:34:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 3.66/1.20 % SZS status Started for theBenchmark.p
% 3.66/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.20
% 3.66/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.66/1.20
% 3.66/1.20 % ------ iProver source info
% 3.66/1.20
% 3.66/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.66/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.66/1.20 % git: non_committed_changes: false
% 3.66/1.20
% 3.66/1.20 % ------ Parsing...% successful
% 3.66/1.20
% 3.66/1.20
% 3.66/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.66/1.20
% 3.66/1.20 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.66/1.20
% 3.66/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.66/1.20
% 3.66/1.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.66/1.20 % ------ Proving...
% 3.66/1.20 % ------ Problem Properties
% 3.66/1.20
% 3.66/1.20 %
% 3.66/1.20 % clauses 3
% 3.66/1.20 % conjectures 0
% 3.66/1.20 % EPR 0
% 3.66/1.20 % Horn 3
% 3.66/1.20 % unary 2
% 3.66/1.20 % binary 0
% 3.66/1.20 % lits 5
% 3.66/1.20 % lits eq 5
% 3.66/1.20 % fd_pure 0
% 3.66/1.20 % fd_pseudo 0
% 3.66/1.20 % fd_cond 0
% 3.66/1.20 % fd_pseudo_cond 0
% 3.66/1.20 % AC symbols 0
% 3.66/1.20
% 3.66/1.20 % ------ Schedule dynamic 5 is on
% 3.66/1.20
% 3.66/1.20 % ------ no conjectures: strip conj schedule
% 3.66/1.20
% 3.66/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.66/1.20
% 3.66/1.20
% 3.66/1.20 % ------
% 3.66/1.20 % Current options:
% 3.66/1.20 % ------
% 3.66/1.20
% 3.66/1.20
% 3.66/1.20 %
% 3.66/1.20
% 3.66/1.20 % ------ Proving...
% 3.66/1.20 %
% 3.66/1.20
% 3.66/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.20
% 3.66/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.66/1.20
% 3.66/1.20
%------------------------------------------------------------------------------