%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR014+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.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 04:13:52 PM UTC 2026
% Result : Theorem 1.36s 1.74s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 22 unt; 0 def)
% Number of atoms : 60 ( 21 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 16 |; 8 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 2 sgn 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(keep_not_released,axiom,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(releases_all_defn,axiom,
! [X4,X2,X5] :
( releases(X4,X2,X5)
<=> ? [X9] :
( X4 = tapOn
& X2 = waterLevel(X9) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
fof(filling_not_waterLevel,axiom,
! [X12] : filling != waterLevel(X12),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(filling_3_l1,conjecture,
~ releasedAt(filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_3_l1) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(not_released_filling_0,hypothesis,
~ releasedAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_filling_0) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(c_0_9,plain,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
inference(fof_simplification,[status(thm)],[keep_not_released]) ).
fof(c_0_10,plain,
! [X160,X161,X162,X164,X165,X166,X167] :
( ( X160 = tapOn
| ~ releases(X160,X161,X162) )
& ( X161 = waterLevel(esk9_2(X160,X161))
| ~ releases(X160,X161,X162) )
& ( X164 != tapOn
| X165 != waterLevel(X166)
| releases(X164,X165,X167) ) ),
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)],[releases_all_defn])])])])])]) ).
fof(c_0_11,plain,
! [X139,X140] :
( ( happens(esk8_2(X139,X140),X140)
| releasedAt(X139,X140)
| ~ releasedAt(X139,plus(X140,n1)) )
& ( releases(esk8_2(X139,X140),X139,X140)
| releasedAt(X139,X140)
| ~ releasedAt(X139,plus(X140,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_12,plain,
! [X177] : filling != waterLevel(X177),
inference(variable_rename,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_0_13,plain,
( X1 = waterLevel(esk9_2(X2,X1))
| ~ releases(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( releases(esk8_2(X1,X2),X1,X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
filling != waterLevel(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_17,plain,
! [X181,X182] : plus(X181,X182) = plus(X182,X181),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
cnf(c_0_18,plain,
( releasedAt(filling,X1)
| ~ releasedAt(filling,plus(X1,n1)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_19,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,negated_conjecture,
releasedAt(filling,n3),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[filling_3_l1])]) ).
cnf(c_0_21,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
fof(c_0_22,hypothesis,
~ releasedAt(filling,n0),
inference(fof_simplification,[status(thm)],[not_released_filling_0]) ).
cnf(c_0_23,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_24,plain,
( releasedAt(filling,X1)
| ~ releasedAt(filling,plus(n1,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
cnf(c_0_26,negated_conjecture,
releasedAt(filling,n3),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_28,hypothesis,
~ releasedAt(filling,n0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( releasedAt(filling,n1)
| ~ releasedAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_30,plain,
releasedAt(filling,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_31,plain,
~ releasedAt(filling,n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_27]),c_0_28]) ).
cnf(c_0_32,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR014+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n029.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 16:26:59 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.36/1.74 % Version : CSE_E---1.7
% 1.36/1.74 % Problem : theBenchmark.p
% 1.36/1.74 % SZS status Theorem for theBenchmark.p
% 1.36/1.74 % SZS output start CNFRefutation
% See solution above
% 1.36/1.74 % Total time : 1.369s
%------------------------------------------------------------------------------