%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR044+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 01:05:26 PM UTC 2026
% Result : Theorem 4.57s 11.13s
% Output : Proof 4.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 71 ( 34 unt; 0 def)
% Number of atoms : 132 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 113 ( 52 ~; 42 |; 10 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 78 ( 0 sgn 47 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,axiom,
! [X,Y,Z] :
( ( genlmt(Y,Z)
& genlmt(X,Y) )
=> genlmt(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
fof(f52_nnf,plain,
! [X,Y,Z] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
! [X,Y,Z] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c52,plain,
( genlmt(X0,X2)
| ~ genlmt(X1,X2)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi51,axiom,
ifeq(genlmt(X0,X1),true,ifeq(genlmt(X1,X2),true,genlmt(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c52]) ).
fof(f8,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f8_nnf,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi8,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
fof(f7,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f7_nnf,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h14,plain,
genlmt(c_tptp_member3633_mt,c_cyclistsmt) = true,
inference(hyper_resolution,[status(thm)],[hi51,hi8,hi7]) ).
fof(f47,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
fof(f47_nnf,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(hi46,axiom,
ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c47]) ).
fof(f64,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query44) ).
fof(f64_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f64_nnf,plain,
! [X] :
( ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) )
& mtvisible(c_tptp_member3633_mt) ),
inference(nnf_transformation,[status(thm)],[f64_neg]) ).
fof(f64_sk,plain,
! [X] :
( ( ~ tptpcol_16_29490(X)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) )
& mtvisible(c_tptp_member3633_mt) ),
inference(skolemisation,[status(esa)],[f64_nnf]) ).
cnf(c64,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[status(esa)],[f64_sk]) ).
cnf(hi63,negated_conjecture,
mtvisible(c_tptp_member3633_mt) = true,
inference(equality_encoding,[status(esa)],[c64]) ).
cnf(h35,plain,
mtvisible(c_cyclistsmt) = true,
inference(hyper_resolution,[status(thm)],[hi46,hi63,h14]) ).
fof(f10,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f10_nnf,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi10,axiom,
ifeq(mtvisible(c_cyclistsmt),true,relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h39,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) = true,
inference(hyper_resolution,[status(thm)],[hi10,h35]) ).
fof(f33,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f33_nnf,plain,
! [X] :
( isa(X,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [X] :
( isa(X,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(hi32,axiom,
ifeq(executionbyfiringsquad(X0),true,isa(X0,c_executionbyfiringsquad),true) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
fof(f11,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f11_nnf,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi11,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h7,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) = true,
inference(hyper_resolution,[status(thm)],[hi32,hi11]) ).
fof(f0,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f0_nnf,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| ~ isa(TERM,INDEPCOL) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| ~ isa(TERM,INDEPCOL) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(isa(X0,X1),true,ifeq(relationallexists(X2,X1,X3),true,isa(f_relationallexistsfn(X0,X2,X1,X3),X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h45,plain,
isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) = true,
inference(hyper_resolution,[status(thm)],[hi0,h7,h39]) ).
fof(f30,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(f30_nnf,plain,
! [X] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X] :
( tptpcol_16_29490(X)
| ~ isa(X,c_tptpcol_16_29490) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(hi29,axiom,
ifeq(isa(X0,c_tptpcol_16_29490),true,tptpcol_16_29490(X0),true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(h48,plain,
tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) = true,
inference(hyper_resolution,[status(thm)],[hi29,h45]) ).
fof(f9,axiom,
! [TERM] :
( ( executionbyfiringsquad(TERM)
& mtvisible(c_cyclistsmt) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
fof(f9_nnf,plain,
! [TERM] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(TERM)
| ~ mtvisible(c_cyclistsmt) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [TERM] :
( tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(TERM)
| ~ mtvisible(c_cyclistsmt) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi9,axiom,
ifeq(mtvisible(c_cyclistsmt),true,ifeq(executionbyfiringsquad(X0),true,tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),true),true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(h40,plain,
tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) = true,
inference(hyper_resolution,[status(thm)],[hi9,h35,hi11]) ).
cnf(c65,plain,
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(cnf_transformation,[status(esa)],[f64_sk]) ).
cnf(hi65,negated_conjecture,
ifeq(tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0),true,ifeq(tptpcol_16_29490(X0),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c65]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi65,h40,h48]) ).
cnf(t478,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f12,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
fof(f12_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c12,c65]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t478]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR044+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/10.39 % Computer : n010.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Fri Sep 25 08:28:45 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.57/11.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.57/11.13 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------