%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR073-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Sun Sep 27 07:07:09 AM UTC 2026
% Result : Unsatisfiable 0.56s 0.83s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-4 aty)
% Number of variables : 34 ( 3 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_337,axiom,
ifeq4(mtvisible(c_tptp_member237_mt),true,tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258),true) = true,
file('theBenchmark.p',ax3_337) ).
cnf(c_1,plain,
ifeq4(mtvisible(c_tptp_member237_mt),true,tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258),true) = true,
inference(clausify,[status(thm)],[ax3_337]) ).
fof(ax3_26515,axiom,
! [VAR_0,VAR_1] : ifeq4(tptptypes_8_400(VAR_0,VAR_1),true,tptptypes_7_396(VAR_0,VAR_1),true) = true,
file('theBenchmark.p',ax3_26515) ).
cnf(c_5,plain,
ifeq4(tptptypes_8_400(A,B),true,tptptypes_7_396(A,B),true) = true,
inference(clausify,[status(thm)],[ax3_26515]) ).
fof(ifeq_axiom,axiom,
! [VAR_0,VAR_1,VAR_2] : ifeq4(VAR_0,VAR_0,VAR_1,VAR_2) = VAR_1,
file('theBenchmark.p',ifeq_axiom) ).
cnf(c_20,plain,
ifeq4(A,A,B,C) = B,
inference(clausify,[status(thm)],[ifeq_axiom]) ).
fof(ifeq_axiom_001,axiom,
! [VAR_0,VAR_1,VAR_2] : ifeq3(VAR_0,VAR_0,VAR_1,VAR_2) = VAR_1,
file('theBenchmark.p',ifeq_axiom_001) ).
cnf(c_21,plain,
ifeq3(A,A,B,C) = B,
inference(clausify,[status(thm)],[ifeq_axiom_001]) ).
fof(ax3_2560,axiom,
! [VAR_0,VAR_1] : ifeq4(tptptypes_9_401(VAR_0,VAR_1),true,tptptypes_8_400(VAR_1,VAR_0),true) = true,
file('theBenchmark.p',ax3_2560) ).
cnf(c_22,plain,
ifeq4(tptptypes_9_401(A,B),true,tptptypes_8_400(B,A),true) = true,
inference(clausify,[status(thm)],[ax3_2560]) ).
fof(ax3_10596,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt) = true,
file('theBenchmark.p',ax3_10596) ).
cnf(c_25,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt) = true,
inference(clausify,[status(thm)],[ax3_10596]) ).
fof(ax3_11372,axiom,
! [VAR_0,VAR_1] : ifeq4(tptptypes_6_388(VAR_0,VAR_1),true,tptptypes_5_387(VAR_0,VAR_1),true) = true,
file('theBenchmark.p',ax3_11372) ).
cnf(c_26,plain,
ifeq4(tptptypes_6_388(A,B),true,tptptypes_5_387(A,B),true) = true,
inference(clausify,[status(thm)],[ax3_11372]) ).
fof(ax3_16571,axiom,
! [VAR_0,VAR_1] : ifeq4(tptptypes_7_396(VAR_0,VAR_1),true,tptptypes_6_388(VAR_0,VAR_1),true) = true,
file('theBenchmark.p',ax3_16571) ).
cnf(c_27,plain,
ifeq4(tptptypes_7_396(A,B),true,tptptypes_6_388(A,B),true) = true,
inference(clausify,[status(thm)],[ax3_16571]) ).
fof(ax3_44208,axiom,
! [VAR_0,VAR_1] : ifeq4(genlmt(VAR_0,VAR_1),true,ifeq4(mtvisible(VAR_0),true,mtvisible(VAR_1),true),true) = true,
file('theBenchmark.p',ax3_44208) ).
cnf(c_40,plain,
ifeq4(genlmt(A,B),true,ifeq4(mtvisible(A),true,mtvisible(B),true),true) = true,
inference(clausify,[status(thm)],[ax3_44208]) ).
fof(query223,axiom,
mtvisible(c_tptp_spindlecollectormt) = true,
file('theBenchmark.p',query223) ).
cnf(c_42,plain,
mtvisible(c_tptp_spindlecollectormt) = true,
inference(clausify,[status(thm)],[query223]) ).
fof(query223_1,axiom,
! [VAR_0] : ifeq3(tptptypes_5_387(VAR_0,c_pushingababycarriage),true,a,b) = b,
file('theBenchmark.p',query223_1) ).
cnf(c_43,plain,
ifeq3(tptptypes_5_387(A,c_pushingababycarriage),true,a,b) = b,
inference(clausify,[status(thm)],[query223_1]) ).
fof(goal,axiom,
a != b,
file('theBenchmark.p',goal) ).
cnf(c_44,plain,
a != b,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_53,plain,
ifeq4(true,true,ifeq4(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member237_mt),true),true) = true,
inference(paramod,[status(thm)],[c_25,c_40]) ).
cnf(c_174,plain,
true = ifeq4(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member237_mt),true),
inference(paramod,[status(thm)],[c_53,c_20]) ).
cnf(c_119,plain,
ifeq4(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member237_mt),true) = true,
inference(copy,[status(thm)],[c_174]) ).
cnf(c_120,plain,
ifeq4(true,true,mtvisible(c_tptp_member237_mt),true) = true,
inference(paramod,[status(thm)],[c_42,c_119]) ).
cnf(c_175,plain,
true = mtvisible(c_tptp_member237_mt),
inference(paramod,[status(thm)],[c_120,c_20]) ).
cnf(c_122,plain,
mtvisible(c_tptp_member237_mt) = true,
inference(copy,[status(thm)],[c_175]) ).
cnf(c_124,plain,
ifeq4(true,true,tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258),true) = true,
inference(paramod,[status(thm)],[c_122,c_1]) ).
cnf(c_176,plain,
true = tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258),
inference(paramod,[status(thm)],[c_124,c_20]) ).
cnf(c_131,plain,
tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) = true,
inference(copy,[status(thm)],[c_176]) ).
cnf(c_132,plain,
ifeq4(true,true,tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage),true) = true,
inference(paramod,[status(thm)],[c_131,c_22]) ).
cnf(c_177,plain,
true = tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage),
inference(paramod,[status(thm)],[c_132,c_20]) ).
cnf(c_165,plain,
tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage) = true,
inference(copy,[status(thm)],[c_177]) ).
cnf(c_166,plain,
ifeq4(true,true,tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage),true) = true,
inference(paramod,[status(thm)],[c_165,c_5]) ).
cnf(c_178,plain,
true = tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage),
inference(paramod,[status(thm)],[c_166,c_20]) ).
cnf(c_167,plain,
tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage) = true,
inference(copy,[status(thm)],[c_178]) ).
cnf(c_168,plain,
ifeq4(true,true,tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage),true) = true,
inference(paramod,[status(thm)],[c_167,c_27]) ).
cnf(c_179,plain,
true = tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage),
inference(paramod,[status(thm)],[c_168,c_20]) ).
cnf(c_169,plain,
tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage) = true,
inference(copy,[status(thm)],[c_179]) ).
cnf(c_170,plain,
ifeq4(true,true,tptptypes_5_387(c_tptpcol_16_10258,c_pushingababycarriage),true) = true,
inference(paramod,[status(thm)],[c_169,c_26]) ).
cnf(c_180,plain,
true = tptptypes_5_387(c_tptpcol_16_10258,c_pushingababycarriage),
inference(paramod,[status(thm)],[c_170,c_20]) ).
cnf(c_171,plain,
tptptypes_5_387(c_tptpcol_16_10258,c_pushingababycarriage) = true,
inference(copy,[status(thm)],[c_180]) ).
cnf(c_172,plain,
ifeq3(true,true,a,b) = b,
inference(paramod,[status(thm)],[c_171,c_43]) ).
cnf(c_181,plain,
b = a,
inference(paramod,[status(thm)],[c_172,c_21]) ).
cnf(c_182,plain,
a = b,
inference(copy,[status(thm)],[c_181]) ).
cnf(c_173,plain,
$false,
inference(resolve,[status(thm)],[c_44,c_182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR073-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 00:42:46 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.39 % Process 2071846 was started by sandbox2 on n016,
% 0.12/0.39 % Sun Sep 27 00:42:46 2026
% 0.12/0.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.56/0.83
% 0.56/0.83 % SInE (scan): 41 to sos (tol 1.5x), 8 to usable (tol 2.0x), 44171 zapped, of 44220 axioms (depth 3).
% 0.56/0.83
% 0.56/0.83 % From the command line: assign(max_seconds, 300).
% 0.56/0.83
% 0.56/0.83 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.83
% 0.56/0.83 % Proof 1 at 0.06 (+ 0.05) seconds.
% 0.56/0.83 % Length of proof is 28.
% 0.56/0.83 % Level of proof is 16.
% 0.56/0.83 % Maximum clause weight is 126.000.
% 0.56/0.83 % Given clauses 132.
% 0.56/0.83
% 0.56/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------