%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN141-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 03:32:37 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.49s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 47 ( 21 unt; 0 nHn; 47 RR)
% Number of literals : 89 ( 0 equ; 49 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 55 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_001,axiom,
( ~ n0(X2,X1)
| k1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(rule_159,axiom,
( ~ k1(X1)
| p2(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_159) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(rule_240,axiom,
( ~ p2(X2,X3,X1)
| n3(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(prove_this,negated_conjecture,
~ m5(c,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_304,axiom,
( ~ k4(X1)
| m5(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_304) ).
cnf(rule_255,axiom,
( ~ n0(X3,X1)
| ~ q2(X3,X1,X2)
| q3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(rule_186,axiom,
( ~ l1(X2,X1)
| q2(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_186) ).
cnf(rule_274,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_274) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(rule_003,axiom,
( ~ m0(X2,X1,X3)
| ~ r0(X4)
| ~ p0(X3,X1)
| l1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_003) ).
cnf(axiom_27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
cnf(axiom_18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(c_0_14,plain,
( ~ n0(X2,X1)
| k1(X1) ),
inference(fof_simplification,[status(thm)],[rule_001]) ).
cnf(c_0_15,plain,
( ~ k1(X1)
| p2(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_159]) ).
cnf(c_0_16,plain,
( ~ n0(X2,X1)
| k1(X1) ),
c_0_14 ).
cnf(c_0_17,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_18,plain,
( ~ p2(X2,X3,X1)
| n3(X1) ),
inference(fof_simplification,[status(thm)],[rule_240]) ).
cnf(c_0_19,plain,
( ~ k1(X1)
| p2(X1,X1,X1) ),
c_0_15 ).
cnf(c_0_20,plain,
k1(e),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
~ m5(c,X1),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_22,plain,
( ~ k4(X1)
| m5(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_304]) ).
cnf(c_0_23,plain,
( ~ n0(X3,X1)
| ~ q2(X3,X1,X2)
| q3(X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_255]) ).
cnf(c_0_24,plain,
( ~ l1(X2,X1)
| q2(X1,X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_186]) ).
cnf(c_0_25,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(fof_simplification,[status(thm)],[rule_274]) ).
cnf(c_0_26,plain,
( ~ p2(X2,X3,X1)
| n3(X1) ),
c_0_18 ).
cnf(c_0_27,plain,
p2(e,e,e),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
~ m5(c,X1),
c_0_21 ).
cnf(c_0_29,plain,
( ~ k4(X1)
| m5(X1,X1) ),
c_0_22 ).
cnf(c_0_30,plain,
( ~ n0(X3,X1)
| ~ q2(X3,X1,X2)
| q3(X1,X2) ),
c_0_23 ).
cnf(c_0_31,plain,
( ~ l1(X2,X1)
| q2(X1,X1,X2) ),
c_0_24 ).
cnf(c_0_32,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
c_0_25 ).
cnf(c_0_33,plain,
n3(e),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,axiom,
n0(c,d),
axiom_34 ).
cnf(c_0_35,negated_conjecture,
~ k4(c),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
( ~ n0(X1,X1)
| ~ l1(X2,X1)
| q3(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( ~ m0(X2,X1,X3)
| ~ r0(X4)
| ~ p0(X3,X1)
| l1(X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_003]) ).
cnf(c_0_38,plain,
~ q3(e,b),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_39,plain,
( ~ l1(X1,e)
| q3(e,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_17]) ).
cnf(c_0_40,plain,
( ~ m0(X2,X1,X3)
| ~ r0(X4)
| ~ p0(X3,X1)
| l1(X1,X2) ),
c_0_37 ).
cnf(c_0_41,axiom,
m0(e,b,c),
axiom_27 ).
cnf(c_0_42,axiom,
p0(c,b),
axiom_18 ).
cnf(c_0_43,plain,
~ l1(b,e),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,axiom,
r0(e),
axiom_13 ).
cnf(c_0_45,plain,
~ r0(X1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_46,plain,
$false,
inference(sr,[status(thm)],[c_0_44,c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN141-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 10:44:35 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.49 % Version: 3.5.1
% 0.12/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.49 % Starting sh5l with 300s (1) cores
% 0.12/0.49 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2944318 completed with status 0
% 0.12/0.49 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.12/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.49 % No SInE strategy applied
% 0.12/0.49 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.12/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.12/0.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.49 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.49 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.49 % SubtermCWHack with pid 2944341 completed with status 0
% 0.12/0.49 % Result found by SubtermCWHack
% 0.12/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.49 % No SInE strategy applied
% 0.12/0.49 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.12/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.49 % Preprocessing time : 0.005 s
% 0.12/0.49
% 0.12/0.49 % Proof found!
% 0.12/0.49 % SZS status Unsatisfiable
% 0.12/0.49 % SZS output start CNFRefutation
% See solution above
% 0.12/0.49 % Parsed axioms : 369
% 0.12/0.49 % Removed by relevancy pruning/SinE : 0
% 0.12/0.49 % Initial clauses : 369
% 0.12/0.49 % Removed in clause preprocessing : 7
% 0.12/0.49 % Initial clauses in saturation : 362
% 0.12/0.49 % Processed clauses : 584
% 0.12/0.49 % ...of these trivial : 81
% 0.12/0.49 % ...subsumed : 11
% 0.12/0.49 % ...remaining for further processing : 492
% 0.12/0.49 % Other redundant clauses eliminated : 0
% 0.12/0.49 % Clauses deleted for lack of memory : 0
% 0.12/0.49 % Backward-subsumed : 51
% 0.12/0.49 % Backward-rewritten : 177
% 0.12/0.49 % Generated clauses : 540
% 0.12/0.49 % ...of the previous two non-redundant : 381
% 0.12/0.49 % ...aggressively subsumed : 0
% 0.12/0.49 % Contextual simplify-reflections : 0
% 0.12/0.49 % Paramodulations : 538
% 0.12/0.49 % Factorizations : 0
% 0.12/0.49 % NegExts : 0
% 0.12/0.49 % Equation resolutions : 0
% 0.12/0.49 % Disequality decompositions : 0
% 0.12/0.49 % Total rewrite steps : 558
% 0.12/0.49 % ...of those cached : 317
% 0.12/0.49 % Propositional unsat checks : 0
% 0.12/0.49 % Propositional check models : 0
% 0.12/0.49 % Propositional check unsatisfiable : 0
% 0.12/0.49 % Propositional clauses : 0
% 0.12/0.49 % Propositional clauses after purity: 0
% 0.12/0.49 % Propositional unsat core size : 0
% 0.12/0.49 % Propositional preprocessing time : 0.000
% 0.12/0.49 % Propositional encoding time : 0.000
% 0.12/0.49 % Propositional solver time : 0.000
% 0.12/0.49 % Success case prop preproc time : 0.000
% 0.12/0.49 % Success case prop encoding time : 0.000
% 0.12/0.49 % Success case prop solver time : 0.000
% 0.12/0.49 % Current number of processed clauses : 262
% 0.12/0.49 % Positive orientable unit clauses : 148
% 0.12/0.49 % Positive unorientable unit clauses: 0
% 0.12/0.49 % Negative unit clauses : 5
% 0.12/0.49 % Non-unit-clauses : 109
% 0.12/0.49 % Current number of unprocessed clauses: 113
% 0.12/0.49 % ...number of literals in the above : 423
% 0.12/0.49 % Current number of archived formulas : 0
% 0.12/0.49 % Current number of archived clauses : 230
% 0.12/0.49 % Clause-clause subsumption calls (NU) : 6548
% 0.12/0.49 % Rec. Clause-clause subsumption calls : 5688
% 0.12/0.49 % Non-unit clause-clause subsumptions : 30
% 0.12/0.49 % Unit Clause-clause subsumption calls : 1224
% 0.12/0.49 % Rewrite failures with RHS unbound : 0
% 0.12/0.49 % BW rewrite match attempts : 237
% 0.12/0.49 % BW rewrite match successes : 148
% 0.12/0.49 % Condensation attempts : 0
% 0.12/0.49 % Condensation successes : 0
% 0.12/0.49 % Termbank termtop insertions : 17747
% 0.12/0.49 % Search garbage collected termcells : 1461
% 0.12/0.49
% 0.12/0.49 % -------------------------------------------------
% 0.12/0.49 % User time : 0.034 s
% 0.12/0.49 % System time : 0.009 s
% 0.12/0.49 % Total time : 0.043 s
% 0.12/0.49 % Maximum resident set size: 4216 pages
% 0.12/0.49
% 0.12/0.49 % -------------------------------------------------
% 0.12/0.49 % User time : 0.107 s
% 0.12/0.49 % System time : 0.030 s
% 0.12/0.49 % Total time : 0.136 s
% 0.12/0.49 % Maximum resident set size: 4864 pages
% 0.12/0.49 % E exiting
%------------------------------------------------------------------------------