%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS082+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:36:18 PM UTC 2026
% Result : Unsatisfiable 1.11s 1.61s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 175 ( 68 ~; 62 |; 27 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 78 ( 2 sgn 39 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,axiom,
! [X1] :
( cc(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ! [X3] :
( rinvP(X2,X3)
=> ! [X4] :
( rinvS(X3,X4)
=> ~ ca(X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_7,axiom,
! [X1,X2] :
( rinvS(X1,X2)
<=> rs(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ? [X2] :
( rs(X1,X2)
& ? [X3] :
( rp(X2,X3)
& cowlThing(X3) )
& ! [X3] :
( rr(X2,X3)
=> cc(X3) )
& ! [X3] :
( rp(X2,X3)
=> ? [X4] :
( rr(X3,X4)
& cowlThing(X4) ) )
& ! [X3] :
( rp(X2,X3)
=> ? [X4] :
( rp(X3,X4)
& cowlThing(X4) ) )
& ! [X3] :
( rp(X2,X3)
=> ! [X4] :
( rr(X3,X4)
=> cc(X4) ) )
& ? [X3] :
( rr(X2,X3)
& cowlThing(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ca(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_5,axiom,
! [X1,X2] :
( rinvP(X1,X2)
<=> rp(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_9,axiom,
cUnsatisfiable(i2003_11_14_17_19_28752),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(c_0_7,plain,
! [X1] :
( cc(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ! [X3] :
( rinvP(X2,X3)
=> ! [X4] :
( rinvS(X3,X4)
=> ~ ca(X4) ) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_4]) ).
fof(c_0_8,plain,
! [X58,X59] :
( ( ~ rinvS(X58,X59)
| rs(X59,X58) )
& ( ~ rs(X59,X58)
| rinvS(X58,X59) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
fof(c_0_9,plain,
! [X34,X37,X38,X40,X42,X43] :
( ( rs(X34,esk1_1(X34))
| ~ cUnsatisfiable(X34) )
& ( rp(esk1_1(X34),esk2_1(X34))
| ~ cUnsatisfiable(X34) )
& ( cowlThing(esk2_1(X34))
| ~ cUnsatisfiable(X34) )
& ( ~ rr(esk1_1(X34),X37)
| cc(X37)
| ~ cUnsatisfiable(X34) )
& ( rr(X38,esk3_2(X34,X38))
| ~ rp(esk1_1(X34),X38)
| ~ cUnsatisfiable(X34) )
& ( cowlThing(esk3_2(X34,X38))
| ~ rp(esk1_1(X34),X38)
| ~ cUnsatisfiable(X34) )
& ( rp(X40,esk4_2(X34,X40))
| ~ rp(esk1_1(X34),X40)
| ~ cUnsatisfiable(X34) )
& ( cowlThing(esk4_2(X34,X40))
| ~ rp(esk1_1(X34),X40)
| ~ cUnsatisfiable(X34) )
& ( ~ rp(esk1_1(X34),X42)
| ~ rr(X42,X43)
| cc(X43)
| ~ cUnsatisfiable(X34) )
& ( rr(esk1_1(X34),esk5_1(X34))
| ~ cUnsatisfiable(X34) )
& ( cowlThing(esk5_1(X34))
| ~ cUnsatisfiable(X34) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])]) ).
fof(c_0_10,plain,
! [X46,X47,X48,X49,X50] :
( ( ~ cc(X46)
| ~ rinvR(X46,X47)
| ~ rinvP(X47,X48)
| ~ rinvS(X48,X49)
| ~ ca(X49) )
& ( rinvR(X50,esk6_1(X50))
| cc(X50) )
& ( rinvP(esk6_1(X50),esk7_1(X50))
| cc(X50) )
& ( rinvS(esk7_1(X50),esk8_1(X50))
| cc(X50) )
& ( ca(esk8_1(X50))
| cc(X50) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])]) ).
cnf(c_0_11,plain,
( rinvS(X2,X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( rs(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X45] :
( ~ cUnsatisfiable(X45)
| ca(X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
cnf(c_0_14,plain,
( ~ cc(X1)
| ~ rinvR(X1,X2)
| ~ rinvP(X2,X3)
| ~ rinvS(X3,X4)
| ~ ca(X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( rinvS(esk1_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( ca(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X54,X55] :
( ( ~ rinvP(X54,X55)
| rp(X55,X54) )
& ( ~ rp(X55,X54)
| rinvP(X54,X55) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).
cnf(c_0_18,plain,
( ~ rinvP(X1,esk1_1(X2))
| ~ rinvR(X3,X1)
| ~ cc(X3)
| ~ cUnsatisfiable(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,plain,
( rinvP(X2,X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,plain,
( ~ rinvR(X1,X2)
| ~ cc(X1)
| ~ rp(esk1_1(X3),X2)
| ~ cUnsatisfiable(X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( rp(esk1_1(X1),esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_22,plain,
! [X56,X57] :
( ( ~ rinvR(X56,X57)
| rr(X57,X56) )
& ( ~ rr(X57,X56)
| rinvR(X56,X57) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).
cnf(c_0_23,plain,
( cc(X3)
| ~ rp(esk1_1(X1),X2)
| ~ rr(X2,X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,plain,
( ~ rinvR(X1,esk2_1(X2))
| ~ cc(X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( cc(X1)
| ~ rr(esk2_1(X2),X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_27,plain,
( ~ rr(esk2_1(X1),X2)
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_28,plain,
( rr(X1,esk3_2(X2,X1))
| ~ rp(esk1_1(X2),X1)
| ~ cUnsatisfiable(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,plain,
( ~ rp(esk1_1(X1),esk2_1(X2))
| ~ cUnsatisfiable(X2)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(split_conjunct,[status(thm)],[axiom_9]) ).
cnf(c_0_31,plain,
~ cUnsatisfiable(X1),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
cnf(c_0_32,plain,
$false,
inference(sr,[status(thm)],[c_0_30,c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : KRS082+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 15:36:56 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.11/1.61 % Version : CSE_E---1.7
% 1.11/1.61 % Problem : theBenchmark.p
% 1.11/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 1.11/1.61 % SZS output start CNFRefutation
% See solution above
% 1.11/1.61 % Total time : 1.362s
%------------------------------------------------------------------------------