%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU030+1 : TPTP v9.3.1. Released v3.2.0.
% 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 02:55:06 PM UTC 2026
% Result : Theorem 3.07s 1.28s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 97 ( 48 unt; 9 def)
% Number of atoms : 373 ( 119 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 381 ( 164 ~; 156 |; 46 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 57 !; 4 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f21,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ! [X3] :
( ( function(X3)
& relation(X3) )
=> ( ( relation_composition(X2,X3) = identity_relation(X0)
& relation_composition(X1,X2) = identity_relation(relation_dom(X3))
& relation_rng(X1) = X0 )
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l72_funct_1) ).
fof(f37,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f39,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0))
& relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1) ).
fof(f40,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& relation_rng(X0) = relation_dom(X1)
& one_to_one(X0) )
=> X1 = function_inverse(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_funct_1) ).
fof(f41,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& relation_rng(X0) = relation_dom(X1)
& one_to_one(X0) )
=> X1 = function_inverse(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f54,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f55,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
inference(flattening,[],[f54]) ).
fof(f70,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ! [X3] :
( ~ function(X3)
| ~ relation(X3)
| identity_relation(X0) != relation_composition(X2,X3)
| relation_composition(X1,X2) != identity_relation(relation_dom(X3))
| relation_rng(X1) != X0
| X3 = X1 ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f71,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ! [X3] :
( ~ function(X3)
| ~ relation(X3)
| identity_relation(X0) != relation_composition(X2,X3)
| relation_composition(X1,X2) != identity_relation(relation_dom(X3))
| relation_rng(X1) != X0
| X3 = X1 ) ) ),
inference(flattening,[],[f70]) ).
fof(f79,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f80,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ),
inference(flattening,[],[f79]) ).
fof(f82,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0))
& relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f83,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0))
& relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) ) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( function(X1)
& relation(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& relation_rng(X0) = relation_dom(X1)
& one_to_one(X0)
& function_inverse(X0) != X1 ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f85,plain,
? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( function(X1)
& relation(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0))
& relation_rng(X0) = relation_dom(X1)
& one_to_one(X0)
& function_inverse(X0) != X1 ) ),
inference(flattening,[],[f84]) ).
fof(f100,plain,
( function(sK11)
& relation(sK11)
& function(sK12)
& relation(sK12)
& relation_composition(sK11,sK12) = identity_relation(relation_dom(sK11))
& relation_rng(sK11) = relation_dom(sK12)
& one_to_one(sK11)
& sK12 != function_inverse(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f85]) ).
fof(f107,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| function(function_inverse(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f108,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| relation(function_inverse(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X3)
| ~ relation(X3)
| identity_relation(X0) != relation_composition(X2,X3)
| relation_composition(X1,X2) != identity_relation(relation_dom(X3))
| relation_rng(X1) != X0
| X1 = X3 ),
inference(cnf_transformation,[],[f71]) ).
fof(f157,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_dom(X0) = relation_rng(function_inverse(X0)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f160,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f161,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f162,plain,
function(sK11),
inference(cnf_transformation,[],[f100]) ).
fof(f163,plain,
relation(sK11),
inference(cnf_transformation,[],[f100]) ).
fof(f164,plain,
function(sK12),
inference(cnf_transformation,[],[f100]) ).
fof(f165,plain,
relation(sK12),
inference(cnf_transformation,[],[f100]) ).
fof(f166,plain,
relation_composition(sK11,sK12) = identity_relation(relation_dom(sK11)),
inference(cnf_transformation,[],[f100]) ).
fof(f167,plain,
relation_rng(sK11) = relation_dom(sK12),
inference(cnf_transformation,[],[f100]) ).
fof(f168,plain,
one_to_one(sK11),
inference(cnf_transformation,[],[f100]) ).
fof(f169,plain,
sK12 != function_inverse(sK11),
inference(cnf_transformation,[],[f100]) ).
fof(f173,plain,
! [X2,X3,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X3)
| ~ relation(X3)
| relation_composition(X2,X3) != identity_relation(relation_rng(X1))
| relation_composition(X1,X2) != identity_relation(relation_dom(X3))
| X1 = X3 ),
inference(equality_resolution,[],[f132]) ).
tcf(c_53,plain,
! [X0: $i] :
( relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_54,plain,
! [X0: $i] :
( function(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X2)
| ~ function(X1)
| ~ function(X0)
| ( relation_composition(X1,X2) != identity_relation(relation_rng(X0)) )
| ( relation_composition(X0,X1) != identity_relation(relation_dom(X2)) ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_104,plain,
! [X0: $i] :
( ( relation_rng(function_inverse(X0)) = relation_dom(X0) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_106,plain,
! [X0: $i] :
( ( relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_107,plain,
! [X0: $i] :
( ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0)) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_108,negated_conjecture,
function_inverse(sK11) != sK12,
inference(cnf_transformation,[],[f169]) ).
tcf(c_109,negated_conjecture,
one_to_one(sK11),
inference(cnf_transformation,[],[f168]) ).
tcf(c_110,negated_conjecture,
relation_dom(sK12) = relation_rng(sK11),
inference(cnf_transformation,[],[f167]) ).
tcf(c_111,negated_conjecture,
relation_composition(sK11,sK12) = identity_relation(relation_dom(sK11)),
inference(cnf_transformation,[],[f166]) ).
tcf(c_112,negated_conjecture,
relation(sK12),
inference(cnf_transformation,[],[f165]) ).
tcf(c_113,negated_conjecture,
function(sK12),
inference(cnf_transformation,[],[f164]) ).
tcf(c_114,negated_conjecture,
relation(sK11),
inference(cnf_transformation,[],[f163]) ).
tcf(c_115,negated_conjecture,
function(sK11),
inference(cnf_transformation,[],[f162]) ).
tcf(c_146,plain,
( ( relation_rng(function_inverse(sK11)) = relation_dom(sK11) )
| ~ one_to_one(sK11)
| ~ relation(sK11)
| ~ function(sK11) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_150,plain,
( ( relation_composition(function_inverse(sK11),sK11) = identity_relation(relation_rng(sK11)) )
| ~ one_to_one(sK11)
| ~ relation(sK11)
| ~ function(sK11) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_151,plain,
( ( relation_composition(sK11,function_inverse(sK11)) = identity_relation(relation_dom(sK11)) )
| ~ one_to_one(sK11)
| ~ relation(sK11)
| ~ function(sK11) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_703,plain,
! [X0: $i] :
( ( relation_composition(function_inverse(X0),X0) = identity_relation(relation_rng(X0)) )
| ~ relation(X0)
| ~ function(X0)
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_109]) ).
tcf(c_704,plain,
( ( relation_composition(function_inverse(sK11),sK11) = identity_relation(relation_rng(sK11)) )
| ~ relation(sK11)
| ~ function(sK11) ),
inference(unflattening,[status(thm)],[c_703]) ).
tcf(c_705,plain,
relation_composition(function_inverse(sK11),sK11) = identity_relation(relation_rng(sK11)),
inference(global_subsumption_just,[status(thm)],[c_704,c_115,c_114,c_109,c_150]) ).
tcf(c_710,plain,
! [X0: $i] :
( ( relation_composition(X0,function_inverse(X0)) = identity_relation(relation_dom(X0)) )
| ~ relation(X0)
| ~ function(X0)
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_106,c_109]) ).
tcf(c_711,plain,
( ( relation_composition(sK11,function_inverse(sK11)) = identity_relation(relation_dom(sK11)) )
| ~ relation(sK11)
| ~ function(sK11) ),
inference(unflattening,[status(thm)],[c_710]) ).
tcf(c_712,plain,
relation_composition(sK11,function_inverse(sK11)) = identity_relation(relation_dom(sK11)),
inference(global_subsumption_just,[status(thm)],[c_711,c_115,c_114,c_109,c_151]) ).
tcf(c_717,plain,
! [X0: $i] :
( ( relation_rng(function_inverse(X0)) = relation_dom(X0) )
| ~ relation(X0)
| ~ function(X0)
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_104,c_109]) ).
tcf(c_718,plain,
( ( relation_rng(function_inverse(sK11)) = relation_dom(sK11) )
| ~ relation(sK11)
| ~ function(sK11) ),
inference(unflattening,[status(thm)],[c_717]) ).
tcf(c_719,plain,
relation_rng(function_inverse(sK11)) = relation_dom(sK11),
inference(global_subsumption_just,[status(thm)],[c_718,c_115,c_114,c_109,c_146]) ).
tcf(c_1040,plain,
relation_composition(sK11,function_inverse(sK11)) = relation_composition(sK11,sK12),
inference(light_normalisation,[status(thm)],[c_712,c_111]) ).
tcf(c_1041,plain,
relation_composition(function_inverse(sK11),sK11) = identity_relation(relation_dom(sK12)),
inference(light_normalisation,[status(thm)],[c_705,c_110]) ).
tcf(c_1176,definition,
iPr_def_10 = function_inverse(sK11),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1177,definition,
iPr_def_11 = relation_composition(iPr_def_10,sK11),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1178,definition,
iPr_def_12 = relation_dom(sK12),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1179,definition,
iPr_def_13 = identity_relation(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1180,definition,
iPr_def_14 = relation_composition(sK11,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1181,definition,
iPr_def_15 = relation_composition(sK11,sK12),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1183,definition,
iPr_def_17 = relation_rng(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_1184,definition,
iPr_def_18 = relation_dom(sK11),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_1185,definition,
iPr_def_19 = identity_relation(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_1187,plain,
iPr_def_11 = iPr_def_13,
inference(demodulation,[status(thm)],[c_1041,c_1178,c_1179,c_1176,c_1177]) ).
tcf(c_1188,plain,
iPr_def_14 = iPr_def_15,
inference(demodulation,[status(thm)],[c_1040,c_1181,c_1180]) ).
tcf(c_1190,plain,
iPr_def_17 = iPr_def_18,
inference(demodulation,[status(thm)],[c_719,c_1184,c_1183]) ).
tcf(c_1191,negated_conjecture,
function(sK11),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_1192,negated_conjecture,
relation(sK11),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_1193,negated_conjecture,
function(sK12),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_1194,negated_conjecture,
relation(sK12),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_1195,negated_conjecture,
iPr_def_15 = iPr_def_19,
inference(demodulation,[status(thm)],[c_111,c_1185]) ).
tcf(c_1197,negated_conjecture,
iPr_def_10 != sK12,
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_1867,plain,
iPr_def_14 = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_1195,c_1188]) ).
tcf(c_1886,plain,
identity_relation(iPr_def_12) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1179,c_1187]) ).
tcf(c_1891,plain,
identity_relation(iPr_def_17) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_1185,c_1190,c_1867]) ).
tcf(c_2007,plain,
relation_composition(sK11,sK12) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_1181,c_1188]) ).
tcf(c_2111,plain,
( function(iPr_def_10)
| ~ relation(sK11)
| ~ function(sK11) ),
inference(superposition,[status(thm)],[c_1176,c_54]) ).
tcf(c_2112,plain,
function(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_2111,c_1192,c_1191]) ).
tcf(c_2119,plain,
( relation(iPr_def_10)
| ~ relation(sK11)
| ~ function(sK11) ),
inference(superposition,[status(thm)],[c_1176,c_53]) ).
tcf(c_2120,plain,
relation(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_2119,c_1192,c_1191]) ).
tcf(c_2670,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK12 )
| ~ relation(sK12)
| ~ function(sK12)
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ( relation_composition(X1,sK12) != identity_relation(relation_rng(X0)) )
| ( relation_composition(X0,X1) != identity_relation(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_1178,c_78]) ).
tcf(c_2701,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK12 )
| ~ relation(sK12)
| ~ function(sK12)
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ( relation_composition(X1,sK12) != identity_relation(relation_rng(X0)) )
| ( relation_composition(X0,X1) != iPr_def_11 ) ),
inference(light_normalisation,[status(thm)],[c_2670,c_1886]) ).
tcf(c_2702,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK12 )
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ( relation_composition(X1,sK12) != identity_relation(relation_rng(X0)) )
| ( relation_composition(X0,X1) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2701,c_1194,c_1193]) ).
tcf(c_2855,plain,
! [X0: $i] :
( ( sK12 = iPr_def_10 )
| ~ relation(iPr_def_10)
| ~ function(iPr_def_10)
| ~ relation(X0)
| ~ function(X0)
| ( relation_composition(iPr_def_10,X0) != iPr_def_11 )
| ( relation_composition(X0,sK12) != identity_relation(iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_1183,c_2702]) ).
tcf(c_2864,plain,
! [X0: $i] :
( ( sK12 = iPr_def_10 )
| ~ relation(iPr_def_10)
| ~ function(iPr_def_10)
| ~ relation(X0)
| ~ function(X0)
| ( relation_composition(iPr_def_10,X0) != iPr_def_11 )
| ( relation_composition(X0,sK12) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_2855,c_1891]) ).
tcf(c_2865,plain,
! [X0: $i] :
( ( sK12 = iPr_def_10 )
| ~ relation(X0)
| ~ function(X0)
| ( relation_composition(iPr_def_10,X0) != iPr_def_11 )
| ( relation_composition(X0,sK12) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2864,c_2120,c_2112]) ).
tcf(c_2960,plain,
( ( sK12 = iPr_def_10 )
| ~ relation(sK11)
| ~ function(sK11)
| ( relation_composition(sK11,sK12) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1177,c_2865]) ).
tcf(c_2961,plain,
( ( sK12 = iPr_def_10 )
| ~ relation(sK11)
| ~ function(sK11) ),
inference(ground_joinability,[status(thm)],[c_2960,c_2007]) ).
tcf(c_2962,plain,
sK12 = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_2961,c_1192,c_1191]) ).
tcf(c_2974,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_1197,c_2962]) ).
tcf(c_2977,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2974]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU030+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 12:39:26 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.07/1.28 % SZS status Started for theBenchmark.p
% 3.07/1.28 % SZS status Theorem for theBenchmark.p
% 3.07/1.28
% 3.07/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.07/1.28
% 3.07/1.28 % ------ iProver source info
% 3.07/1.28
% 3.07/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.07/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.07/1.28 % git: non_committed_changes: false
% 3.07/1.28
% 3.07/1.28 % ------ Parsing...
% 3.07/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.07/1.28
% 3.07/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 3 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.07/1.28
% 3.07/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.07/1.28
% 3.07/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.07/1.28 % ------ Proving...
% 3.07/1.28 % ------ Problem Properties
% 3.07/1.28
% 3.07/1.28 %
% 3.07/1.28 % clauses 80
% 3.07/1.28 % conjectures 7
% 3.07/1.28 % EPR 35
% 3.07/1.28 % Horn 78
% 3.07/1.28 % unary 49
% 3.07/1.28 % binary 16
% 3.07/1.28 % lits 134
% 3.07/1.29 % lits eq 31
% 3.07/1.29 % fd_pure 0
% 3.07/1.29 % fd_pseudo 0
% 3.07/1.29 % fd_cond 1
% 3.07/1.29 % fd_pseudo_cond 2
% 3.07/1.29 % AC symbols 0
% 3.07/1.29
% 3.07/1.29 % ------ Schedule dynamic 5 is on
% 3.07/1.29
% 3.07/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.07/1.29
% 3.07/1.29
% 3.07/1.29 % ------
% 3.07/1.29 % Current options:
% 3.07/1.29 % ------
% 3.07/1.29
% 3.07/1.29
% 3.07/1.29 %
% 3.07/1.29
% 3.07/1.29 % ------ Proving...
% 3.07/1.29 %
% 3.07/1.29
% 3.07/1.29 % SZS status Theorem for theBenchmark.p
% 3.07/1.29
% 3.07/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.07/1.29
% 3.07/1.29
%------------------------------------------------------------------------------