%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR061+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Thu Sep 24 12:13:18 PM UTC 2026
% Result : Theorem 3.21s 0.88s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 20
% Syntax : Number of formulae : 79 ( 52 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 63 ~; 28 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f129,axiom,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f160,axiom,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f215,axiom,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f235,axiom,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f258,axiom,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f356,axiom,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f361,axiom,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f387,axiom,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f393,axiom,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f401,axiom,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f422,axiom,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f487,axiom,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f489,axiom,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f499,axiom,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1121,axiom,
! [ARG1,OLD,NEW] :
( ( genls(NEW,OLD)
& disjointwith(ARG1,OLD) )
=> disjointwith(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1122,axiom,
! [OLD,ARG2,NEW] :
( ( genls(NEW,OLD)
& disjointwith(OLD,ARG2) )
=> disjointwith(NEW,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1231,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f1234,plain,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f1277,plain,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f1322,plain,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f1366,plain,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f1447,plain,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f1477,plain,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f1509,plain,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f1652,plain,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f1659,plain,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
inference(cnf_transformation,[status(thm)],[f361]) ).
fof(f1697,plain,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
inference(cnf_transformation,[status(thm)],[f387]) ).
fof(f1706,plain,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f1718,plain,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
inference(cnf_transformation,[status(thm)],[f401]) ).
fof(f1748,plain,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f1846,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f1849,plain,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f1865,plain,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f3175,plain,
! [ARG1,OLD,NEW] :
( disjointwith(ARG1,NEW)
| ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ),
inference(pre_NNF_transformation,[status(thm)],[f1121]) ).
fof(f3176,plain,
! [ARG1,NEW] :
( disjointwith(ARG1,NEW)
| ! [OLD] :
( ~ genls(NEW,OLD)
| ~ disjointwith(ARG1,OLD) ) ),
inference(miniscoping,[status(thm)],[f3175]) ).
fof(f3177,plain,
! [X0,X1,X2] :
( disjointwith(X0,X2)
| ~ genls(X2,X1)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3176]) ).
fof(f3178,plain,
! [OLD,ARG2,NEW] :
( disjointwith(NEW,ARG2)
| ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ),
inference(pre_NNF_transformation,[status(thm)],[f1122]) ).
fof(f3179,plain,
! [ARG2,NEW] :
( disjointwith(NEW,ARG2)
| ! [OLD] :
( ~ genls(NEW,OLD)
| ~ disjointwith(OLD,ARG2) ) ),
inference(miniscoping,[status(thm)],[f3178]) ).
fof(f3180,plain,
! [X0,X1,X2] :
( disjointwith(X2,X1)
| ~ genls(X2,X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3179]) ).
fof(f3204,plain,
( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
& mtvisible(c_timehasnoendmt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3206,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3210,plain,
! [X0] :
( ~ genls(c_tptpcol_14_118118,X0)
| ~ disjointwith(c_tptpcol_8_114177,X0) ),
inference(resolution,[status(thm)],[f3177,f3206]) ).
fof(f3214,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_13_118117),
inference(resolution,[status(thm)],[f3210,f1865]) ).
fof(f3220,plain,
! [X0] :
( ~ genls(c_tptpcol_8_114177,X0)
| ~ disjointwith(X0,c_tptpcol_13_118117) ),
inference(resolution,[status(thm)],[f3214,f3180]) ).
fof(f3230,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_13_118117),
inference(resolution,[status(thm)],[f3220,f1718]) ).
fof(f3235,plain,
! [X0] :
( ~ genls(c_tptpcol_7_113665,X0)
| ~ disjointwith(X0,c_tptpcol_13_118117) ),
inference(resolution,[status(thm)],[f3230,f3180]) ).
fof(f3252,plain,
~ disjointwith(c_tptpcol_6_112641,c_tptpcol_13_118117),
inference(resolution,[status(thm)],[f1447,f3235]) ).
fof(f3265,plain,
! [X0] :
( ~ genls(c_tptpcol_6_112641,X0)
| ~ disjointwith(X0,c_tptpcol_13_118117) ),
inference(resolution,[status(thm)],[f3252,f3180]) ).
fof(f3343,plain,
~ disjointwith(c_tptpcol_5_110593,c_tptpcol_13_118117),
inference(resolution,[status(thm)],[f1706,f3265]) ).
fof(f3356,plain,
! [X0] :
( ~ genls(c_tptpcol_13_118117,X0)
| ~ disjointwith(c_tptpcol_5_110593,X0) ),
inference(resolution,[status(thm)],[f3343,f3177]) ).
fof(f3361,plain,
~ disjointwith(c_tptpcol_5_110593,c_tptpcol_12_118116),
inference(resolution,[status(thm)],[f1748,f3356]) ).
fof(f3370,plain,
! [X0] :
( ~ genls(c_tptpcol_12_118116,X0)
| ~ disjointwith(c_tptpcol_5_110593,X0) ),
inference(resolution,[status(thm)],[f3361,f3177]) ).
fof(f3435,plain,
~ disjointwith(c_tptpcol_5_110593,c_tptpcol_11_118084),
inference(resolution,[status(thm)],[f3370,f1509]) ).
fof(f3442,plain,
! [X0] :
( ~ genls(c_tptpcol_5_110593,X0)
| ~ disjointwith(X0,c_tptpcol_11_118084) ),
inference(resolution,[status(thm)],[f3435,f3180]) ).
fof(f3574,plain,
~ disjointwith(c_tptpcol_4_106497,c_tptpcol_11_118084),
inference(resolution,[status(thm)],[f3442,f1849]) ).
fof(f3584,plain,
! [X0] :
( ~ genls(c_tptpcol_4_106497,X0)
| ~ disjointwith(X0,c_tptpcol_11_118084) ),
inference(resolution,[status(thm)],[f3574,f3180]) ).
fof(f3677,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_11_118084),
inference(resolution,[status(thm)],[f3584,f1231]) ).
fof(f3705,plain,
! [X0] :
( ~ genls(c_tptpcol_11_118084,X0)
| ~ disjointwith(c_tptpcol_3_98305,X0) ),
inference(resolution,[status(thm)],[f3677,f3177]) ).
fof(f3867,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_10_118020),
inference(resolution,[status(thm)],[f3705,f1322]) ).
fof(f3882,plain,
! [X0] :
( ~ genls(c_tptpcol_10_118020,X0)
| ~ disjointwith(c_tptpcol_3_98305,X0) ),
inference(resolution,[status(thm)],[f3867,f3177]) ).
fof(f4018,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_9_118019),
inference(resolution,[status(thm)],[f3882,f1366]) ).
fof(f4043,plain,
! [X0] :
( ~ genls(c_tptpcol_9_118019,X0)
| ~ disjointwith(c_tptpcol_3_98305,X0) ),
inference(resolution,[status(thm)],[f4018,f3177]) ).
fof(f4215,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_8_117763),
inference(resolution,[status(thm)],[f4043,f1697]) ).
fof(f4239,plain,
! [X0] :
( ~ genls(c_tptpcol_8_117763,X0)
| ~ disjointwith(c_tptpcol_3_98305,X0) ),
inference(resolution,[status(thm)],[f4215,f3177]) ).
fof(f4690,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_7_117762),
inference(resolution,[status(thm)],[f4239,f1652]) ).
fof(f4693,plain,
! [X0] :
( ~ genls(c_tptpcol_7_117762,X0)
| ~ disjointwith(c_tptpcol_3_98305,X0) ),
inference(resolution,[status(thm)],[f4690,f3177]) ).
fof(f5169,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_6_116738),
inference(resolution,[status(thm)],[f4693,f1659]) ).
fof(f5171,plain,
! [X0] :
( ~ genls(c_tptpcol_6_116738,X0)
| ~ disjointwith(c_tptpcol_3_98305,X0) ),
inference(resolution,[status(thm)],[f5169,f3177]) ).
fof(f5745,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_5_114690),
inference(resolution,[status(thm)],[f5171,f1277]) ).
fof(f5870,plain,
! [X0] :
( ~ genls(c_tptpcol_5_114690,X0)
| ~ disjointwith(c_tptpcol_3_98305,X0) ),
inference(resolution,[status(thm)],[f5745,f3177]) ).
fof(f6700,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_4_114689),
inference(resolution,[status(thm)],[f5870,f1234]) ).
fof(f6908,plain,
! [X0] :
( ~ genls(c_tptpcol_4_114689,X0)
| ~ disjointwith(c_tptpcol_3_98305,X0) ),
inference(resolution,[status(thm)],[f6700,f3177]) ).
fof(f7415,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(resolution,[status(thm)],[f6908,f1477]) ).
fof(f7416,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7415,f1846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR061+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 14:38:20 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 3.21/0.88 % Refutation found
% 3.21/0.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.21/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.25/2.11 % Elapsed time: 1.538159 seconds
% 4.25/2.11 % CPU time: 3.873580 seconds
% 4.25/2.11 % Total memory used: 163.026 MB
% 4.25/2.11 % Net memory used: 160.384 MB
%------------------------------------------------------------------------------