%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR030+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 : n002.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 01:05:16 PM UTC 2026
% Result : Theorem 6.64s 1.33s
% Output : Proof 6.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 21 unt; 0 def)
% Number of atoms : 77 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 21 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 48 ( 2 sgn 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
fof(f48_nnf,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(hi47,axiom,
ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c48]) ).
fof(f57,conjecture,
? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query30) ).
fof(f57_neg,negated_conjecture,
~ ? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f57_nnf,plain,
! [ARG2] :
( ~ tptptypes_5_387(ARG2,c_pushingwithopenhand)
& mtvisible(c_tptp_member3393_mt) ),
inference(nnf_transformation,[status(thm)],[f57_neg]) ).
fof(f57_sk,plain,
! [ARG2] :
( ~ tptptypes_5_387(ARG2,c_pushingwithopenhand)
& mtvisible(c_tptp_member3393_mt) ),
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
mtvisible(c_tptp_member3393_mt),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(hi56,negated_conjecture,
mtvisible(c_tptp_member3393_mt) = true,
inference(equality_encoding,[status(esa)],[c57]) ).
fof(f10,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f10_nnf,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(hi10,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h18,plain,
mtvisible(c_tptp_spindleheadmt) = true,
inference(hyper_resolution,[status(thm)],[hi47,hi56,hi10]) ).
fof(f11,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f11_nnf,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi11,axiom,
ifeq(mtvisible(c_tptp_spindleheadmt),true,tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h40,plain,
tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) = true,
inference(hyper_resolution,[status(thm)],[hi11,h18]) ).
fof(f8,axiom,
! [ARG1,ARG2] :
( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f8_nnf,plain,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG2,ARG1)
| ~ tptptypes_7_389(ARG1,ARG2) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG2,ARG1)
| ~ tptptypes_7_389(ARG1,ARG2) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( tptptypes_6_388(X1,X0)
| ~ tptptypes_7_389(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi8,axiom,
ifeq(tptptypes_7_389(X0,X1),true,tptptypes_6_388(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h47,plain,
tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand) = true,
inference(hyper_resolution,[status(thm)],[hi8,h40]) ).
fof(f6,axiom,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f6_nnf,plain,
! [ARG1,ARG2] :
( tptptypes_5_387(ARG1,ARG2)
| ~ tptptypes_6_388(ARG1,ARG2) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [ARG1,ARG2] :
( tptptypes_5_387(ARG1,ARG2)
| ~ tptptypes_6_388(ARG1,ARG2) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi6,axiom,
ifeq(tptptypes_6_388(X0,X1),true,tptptypes_5_387(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h48,plain,
tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand) = true,
inference(hyper_resolution,[status(thm)],[hi6,h47]) ).
cnf(c58,plain,
~ tptptypes_5_387(X0,c_pushingwithopenhand),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(hi58,negated_conjecture,
ifeq(tptptypes_5_387(X0,c_pushingwithopenhand),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c58]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi58,h48]) ).
cnf(t491,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,c58]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t491]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR030+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 08:16:22 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.64/1.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.64/1.33 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------