%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU418+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 02:25:04 PM UTC 2026
% Result : Theorem 278.89s 44.20s
% Output : CNFRefutation 278.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 25 unt; 0 def)
% Number of atoms : 89 ( 19 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 33 ~; 26 |; 5 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 74 ( 2 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_relset_2,conjecture,
! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(k5_relat_1(X1,X3),k5_relat_1(X2,X3))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_relset_2) ).
fof(t48_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(t19_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X3)
& r1_tarski(X1,X2) )
=> r1_tarski(X1,k3_xboole_0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t19_xboole_1) ).
fof(t49_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k5_relat_1(X1,X3),k5_relat_1(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t49_relat_1) ).
fof(t3_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> v1_relat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t3_relat_1) ).
fof(t2_boole,axiom,
! [X1] : k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t2_boole) ).
fof(t36_xboole_1,axiom,
! [X1,X2] : r1_tarski(k4_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t36_xboole_1) ).
fof(t49_xboole_1,axiom,
! [X1,X2,X3] : k3_xboole_0(X1,k4_xboole_0(X2,X3)) = k4_xboole_0(k3_xboole_0(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t49_xboole_1) ).
fof(t3_boole,axiom,
! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t3_boole) ).
fof(t37_xboole_1,axiom,
! [X1,X2] :
( k4_xboole_0(X1,X2) = k1_xboole_0
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t37_xboole_1) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(k5_relat_1(X1,X3),k5_relat_1(X2,X3))) ) ) ),
inference(assume_negation,[status(cth)],[t8_relset_2]) ).
fof(c_0_11,negated_conjecture,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(esk1_0,esk2_0),esk3_0),k3_xboole_0(k5_relat_1(esk1_0,esk3_0),k5_relat_1(esk2_0,esk3_0)))
& v1_relat_1(esk3_0)
& v1_relat_1(esk2_0)
& v1_relat_1(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_12,plain,
! [X195,X196] : k4_xboole_0(X195,k4_xboole_0(X195,X196)) = k3_xboole_0(X195,X196),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(c_0_13,plain,
! [X155,X156,X157] :
( r1_tarski(X155,k3_xboole_0(X156,X157))
| ~ r1_tarski(X155,X157)
| ~ r1_tarski(X155,X156) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_xboole_1])])]) ).
cnf(c_0_14,negated_conjecture,
~ r1_tarski(k5_relat_1(k3_xboole_0(esk1_0,esk2_0),esk3_0),k3_xboole_0(k5_relat_1(esk1_0,esk3_0),k5_relat_1(esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( ~ r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| r1_tarski(X1,k3_xboole_0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X436,X437,X438] :
( r1_tarski(k5_relat_1(X436,X438),k5_relat_1(X437,X438))
| ~ r1_tarski(X436,X437)
| ~ v1_relat_1(X438)
| ~ v1_relat_1(X437)
| ~ v1_relat_1(X436) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t49_relat_1])])])]) ).
fof(c_0_18,plain,
! [X86,X87] :
( v1_relat_1(X86)
| ~ r1_tarski(X86,X87)
| ~ v1_relat_1(X87) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])])]) ).
cnf(c_0_19,negated_conjecture,
~ r1_tarski(k5_relat_1(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk3_0),k4_xboole_0(k5_relat_1(esk1_0,esk3_0),k4_xboole_0(k5_relat_1(esk1_0,esk3_0),k5_relat_1(esk2_0,esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15]) ).
cnf(c_0_20,plain,
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X1,X3)
| r1_tarski(X1,k4_xboole_0(X2,k4_xboole_0(X2,X3))) ),
inference(rw,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_21,plain,
( ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| r1_tarski(k5_relat_1(X1,X3),k5_relat_1(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( ~ r1_tarski(X2,X1)
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X146] : k3_xboole_0(X146,k1_xboole_0) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t2_boole]) ).
cnf(c_0_24,negated_conjecture,
( ~ r1_tarski(k5_relat_1(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk3_0),k5_relat_1(esk1_0,esk3_0))
| ~ r1_tarski(k5_relat_1(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk3_0),k5_relat_1(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( ~ r1_tarski(X1,X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(X1,X2),k5_relat_1(X3,X2)) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
v1_relat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,negated_conjecture,
v1_relat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_28,plain,
! [X1200,X1201] : r1_tarski(k4_xboole_0(X1200,X1201),X1200),
inference(variable_rename,[status(thm)],[t36_xboole_1]) ).
fof(c_0_29,plain,
! [X197,X198,X199] : k3_xboole_0(X197,k4_xboole_0(X198,X199)) = k4_xboole_0(k3_xboole_0(X197,X198),X199),
inference(variable_rename,[status(thm)],[t49_xboole_1]) ).
cnf(c_0_30,plain,
k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_31,plain,
! [X1186] : k4_xboole_0(X1186,k1_xboole_0) = X1186,
inference(variable_rename,[status(thm)],[t3_boole]) ).
cnf(c_0_32,negated_conjecture,
( ~ r1_tarski(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk2_0)
| ~ r1_tarski(k5_relat_1(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk3_0),k5_relat_1(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_33,negated_conjecture,
v1_relat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_35,plain,
! [X1202,X1203] :
( ( k4_xboole_0(X1202,X1203) = k1_xboole_0
| ~ r1_tarski(X1202,X1203) )
& ( r1_tarski(X1202,X1203)
| k4_xboole_0(X1202,X1203) != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])])]) ).
cnf(c_0_36,plain,
k3_xboole_0(X1,k4_xboole_0(X2,X3)) = k4_xboole_0(k3_xboole_0(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
k4_xboole_0(X1,k4_xboole_0(X1,k1_xboole_0)) = k1_xboole_0,
inference(rw,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_38,plain,
k4_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
~ r1_tarski(k4_xboole_0(esk1_0,k4_xboole_0(esk1_0,esk2_0)),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_26]),c_0_33]),c_0_34])]) ).
cnf(c_0_40,plain,
( k4_xboole_0(X1,X2) != k1_xboole_0
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X2,X3))) = k4_xboole_0(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_15]),c_0_15]) ).
cnf(c_0_42,plain,
k4_xboole_0(X1,X1) = k1_xboole_0,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),c_0_38]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU418+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n009.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 : Mon Sep 21 06:25:18 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 278.89/44.20 % Version: 3.5.1
% 278.89/44.20 % Preprocessing class: FMLLMLLLSSSNFFN.
% 278.89/44.20 % Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 278.89/44.20 % Starting new_bool_3 with 879s (3) cores
% 278.89/44.20 % Starting new_bool_1 with 879s (3) cores
% 278.89/44.20 % Starting sh5l with 293s (1) cores
% 278.89/44.20 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 293s (1) cores
% 278.89/44.20 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 1063353 completed with status 0
% 278.89/44.20 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 278.89/44.20 % Preprocessing class: FMLLMLLLSSSNFFN.
% 278.89/44.20 % Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 278.89/44.20 % Starting new_bool_3 with 879s (3) cores
% 278.89/44.20 % Starting new_bool_1 with 879s (3) cores
% 278.89/44.20 % Starting sh5l with 293s (1) cores
% 278.89/44.20 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 293s (1) cores
% 278.89/44.20 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 278.89/44.20 % SinE strategy is gf120_h_gu_RUU_F100_L01000
% 278.89/44.20 % Search class: FGHSM-SMLM32-DFFFFFNN
% 278.89/44.20 % Scheduled 12 strats onto 1 cores with 293 seconds (293 total)
% 278.89/44.20 % Starting SubtermCWHack with 30s (1) cores
% 278.89/44.20 % SubtermCWHack with pid 1063354 completed with status 8
% 278.89/44.20 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 25s (1) cores
% 278.89/44.20 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 1063455 completed with status 0
% 278.89/44.20 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 278.89/44.20 % Preprocessing class: FMLLMLLLSSSNFFN.
% 278.89/44.20 % Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 278.89/44.20 % Starting new_bool_3 with 879s (3) cores
% 278.89/44.20 % Starting new_bool_1 with 879s (3) cores
% 278.89/44.20 % Starting sh5l with 293s (1) cores
% 278.89/44.20 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 293s (1) cores
% 278.89/44.20 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 278.89/44.20 % SinE strategy is gf120_h_gu_RUU_F100_L01000
% 278.89/44.20 % Search class: FGHSM-SMLM32-DFFFFFNN
% 278.89/44.20 % Scheduled 12 strats onto 1 cores with 293 seconds (293 total)
% 278.89/44.20 % Starting SubtermCWHack with 30s (1) cores
% 278.89/44.20 % SubtermCWHack with pid 1063354 completed with status 8
% 278.89/44.20 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 25s (1) cores
% 278.89/44.20 % Preprocessing time : 0.130 s
% 278.89/44.20 % Presaturation interreduction done
% 278.89/44.20
% 278.89/44.20 % Proof found!
% 278.89/44.20 % SZS status Theorem
% 278.89/44.20 % SZS output start CNFRefutation
% See solution above
% 278.89/44.20 % Parsed axioms : 71086
% 278.89/44.20 % Removed by relevancy pruning/SinE : 70085
% 278.89/44.20 % Initial clauses : 2082
% 278.89/44.20 % Removed in clause preprocessing : 46
% 278.89/44.20 % Initial clauses in saturation : 2036
% 278.89/44.20 % Processed clauses : 4031
% 278.89/44.20 % ...of these trivial : 32
% 278.89/44.20 % ...subsumed : 200
% 278.89/44.20 % ...remaining for further processing : 3799
% 278.89/44.20 % Other redundant clauses eliminated : 870
% 278.89/44.20 % Clauses deleted for lack of memory : 0
% 278.89/44.20 % Backward-subsumed : 7
% 278.89/44.20 % Backward-rewritten : 17
% 278.89/44.20 % Generated clauses : 72350
% 278.89/44.20 % ...of the previous two non-redundant : 68695
% 278.89/44.20 % ...aggressively subsumed : 0
% 278.89/44.20 % Contextual simplify-reflections : 139
% 278.89/44.20 % Paramodulations : 71422
% 278.89/44.20 % Factorizations : 29
% 278.89/44.20 % NegExts : 0
% 278.89/44.20 % Equation resolutions : 907
% 278.89/44.20 % Disequality decompositions : 0
% 278.89/44.20 % Total rewrite steps : 16520
% 278.89/44.20 % ...of those cached : 14587
% 278.89/44.20 % Propositional unsat checks : 0
% 278.89/44.20 % Propositional check models : 0
% 278.89/44.20 % Propositional check unsatisfiable : 0
% 278.89/44.20 % Propositional clauses : 0
% 278.89/44.20 % Propositional clauses after purity: 0
% 278.89/44.20 % Propositional unsat core size : 0
% 278.89/44.20 % Propositional preprocessing time : 0.000
% 278.89/44.20 % Propositional encoding time : 0.000
% 278.89/44.20 % Propositional solver time : 0.000
% 278.89/44.20 % Success case prop preproc time : 0.000
% 278.89/44.20 % Success case prop encoding time : 0.000
% 278.89/44.20 % Success case prop solver time : 0.000
% 278.89/44.20 % Current number of processed clauses : 1801
% 278.89/44.20 % Positive orientable unit clauses : 215
% 278.89/44.20 % Positive unorientable unit clauses: 5
% 278.89/44.20 % Negative unit clauses : 51
% 278.89/44.20 % Non-unit-clauses : 1530
% 278.89/44.20 % Current number of unprocessed clauses: 68482
% 278.89/44.20 % ...number of literals in the above : 401626
% 278.89/44.20 % Current number of archived formulas : 0
% 278.89/44.20 % Current number of archived clauses : 1822
% 278.89/44.20 % Clause-clause subsumption calls (NU) : 1763038
% 278.89/44.20 % Rec. Clause-clause subsumption calls : 187043
% 278.89/44.20 % Non-unit clause-clause subsumptions : 318
% 278.89/44.20 % Unit Clause-clause subsumption calls : 16412
% 278.89/44.20 % Rewrite failures with RHS unbound : 0
% 278.89/44.20 % BW rewrite match attempts : 238
% 278.89/44.20 % BW rewrite match successes : 104
% 278.89/44.20 % Condensation attempts : 0
% 278.89/44.20 % Condensation successes : 0
% 278.89/44.20 % Termbank termtop insertions : 4312838
% 278.89/44.20 % Search garbage collected termcells : 802543
% 278.89/44.20
% 278.89/44.20 % -------------------------------------------------
% 278.89/44.20 % User time : 34.191 s
% 278.89/44.20 % System time : 1.068 s
% 278.89/44.20 % Total time : 35.259 s
% 278.89/44.20 % Maximum resident set size: 148924 pages
% 278.89/44.20
% 278.89/44.20 % -------------------------------------------------
% 278.89/44.20 % User time : 41.862 s
% 278.89/44.20 % System time : 1.426 s
% 278.89/44.20 % Total time : 43.288 s
% 278.89/44.20 % Maximum resident set size: 121088 pages
% 278.89/44.20 % E exiting
%------------------------------------------------------------------------------