%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN221-1 : 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 : n007.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 03:23:25 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 16 unt; 0 nHn; 32 RR)
% Number of literals : 61 ( 0 equ; 30 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 31 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_126,axiom,
( ~ s1(X3)
| ~ q0(X1,X2)
| s1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(rule_125,axiom,
( ~ p0(X1,X1)
| s1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(rule_190,axiom,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_190) ).
cnf(axiom_36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(rule_220,axiom,
( ~ l1(X1,X1)
| ~ s2(X2)
| l3(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_220) ).
cnf(rule_002,axiom,
( ~ n0(X2,X1)
| l1(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(prove_this,negated_conjecture,
~ l3(X1,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(c_0_10,plain,
( ~ s1(X3)
| ~ q0(X1,X2)
| s1(X1) ),
inference(fof_simplification,[status(thm)],[rule_126]) ).
cnf(c_0_11,plain,
( ~ p0(X1,X1)
| s1(X1) ),
inference(fof_simplification,[status(thm)],[rule_125]) ).
cnf(c_0_12,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(fof_simplification,[status(thm)],[rule_190]) ).
cnf(c_0_13,plain,
( ~ s1(X3)
| ~ q0(X1,X2)
| s1(X1) ),
c_0_10 ).
cnf(c_0_14,axiom,
q0(a,b),
axiom_36 ).
cnf(c_0_15,plain,
( ~ p0(X1,X1)
| s1(X1) ),
c_0_11 ).
cnf(c_0_16,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_17,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
c_0_12 ).
cnf(c_0_18,axiom,
s0(d),
axiom_1 ).
cnf(c_0_19,plain,
( ~ s1(X1)
| s1(a) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
s1(b),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ l1(X1,X1)
| ~ s2(X2)
| l3(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_220]) ).
cnf(c_0_22,plain,
( ~ s1(a)
| s2(d) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_23,plain,
s1(a),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( ~ n0(X2,X1)
| l1(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_002]) ).
cnf(c_0_25,negated_conjecture,
~ l3(X1,c),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_26,plain,
( ~ l1(X1,X1)
| ~ s2(X2)
| l3(X1,X1) ),
c_0_21 ).
cnf(c_0_27,plain,
s2(d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
cnf(c_0_28,plain,
( ~ n0(X2,X1)
| l1(X1,X1) ),
c_0_24 ).
cnf(c_0_29,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_30,negated_conjecture,
~ l3(X1,c),
c_0_25 ).
cnf(c_0_31,plain,
( ~ l1(X1,X1)
| l3(X1,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
l1(c,c),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN221-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 10:44:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.15/0.46 % Version: 3.5.1
% 0.15/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.46 % Starting sh5l with 300s (1) cores
% 0.15/0.46 % new_bool_3 with pid 886186 completed with status 0
% 0.15/0.46 % Result found by new_bool_3
% 0.15/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.46 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.15/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.46 % SubtermCWHack with pid 886192 completed with status 0
% 0.15/0.46 % Result found by SubtermCWHack
% 0.15/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.46 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.15/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.46 % Preprocessing time : 0.003 s
% 0.15/0.46
% 0.15/0.46 % Proof found!
% 0.15/0.46 % SZS status Unsatisfiable
% 0.15/0.46 % SZS output start CNFRefutation
% See solution above
% 0.15/0.46 % Parsed axioms : 369
% 0.15/0.46 % Removed by relevancy pruning/SinE : 30
% 0.15/0.46 % Initial clauses : 339
% 0.15/0.46 % Removed in clause preprocessing : 6
% 0.15/0.46 % Initial clauses in saturation : 333
% 0.15/0.46 % Processed clauses : 153
% 0.15/0.46 % ...of these trivial : 9
% 0.15/0.46 % ...subsumed : 2
% 0.15/0.46 % ...remaining for further processing : 142
% 0.15/0.46 % Other redundant clauses eliminated : 0
% 0.15/0.46 % Clauses deleted for lack of memory : 0
% 0.15/0.46 % Backward-subsumed : 5
% 0.15/0.46 % Backward-rewritten : 22
% 0.15/0.46 % Generated clauses : 81
% 0.15/0.46 % ...of the previous two non-redundant : 80
% 0.15/0.46 % ...aggressively subsumed : 0
% 0.15/0.46 % Contextual simplify-reflections : 0
% 0.15/0.46 % Paramodulations : 81
% 0.15/0.46 % Factorizations : 0
% 0.15/0.46 % NegExts : 0
% 0.15/0.46 % Equation resolutions : 0
% 0.15/0.46 % Disequality decompositions : 0
% 0.15/0.46 % Total rewrite steps : 50
% 0.15/0.46 % ...of those cached : 16
% 0.15/0.46 % Propositional unsat checks : 0
% 0.15/0.46 % Propositional check models : 0
% 0.15/0.46 % Propositional check unsatisfiable : 0
% 0.15/0.46 % Propositional clauses : 0
% 0.15/0.46 % Propositional clauses after purity: 0
% 0.15/0.46 % Propositional unsat core size : 0
% 0.15/0.46 % Propositional preprocessing time : 0.000
% 0.15/0.46 % Propositional encoding time : 0.000
% 0.15/0.46 % Propositional solver time : 0.000
% 0.15/0.46 % Success case prop preproc time : 0.000
% 0.15/0.46 % Success case prop encoding time : 0.000
% 0.15/0.46 % Success case prop solver time : 0.000
% 0.15/0.46 % Current number of processed clauses : 115
% 0.15/0.46 % Positive orientable unit clauses : 82
% 0.15/0.46 % Positive unorientable unit clauses: 0
% 0.15/0.46 % Negative unit clauses : 5
% 0.15/0.46 % Non-unit-clauses : 28
% 0.15/0.46 % Current number of unprocessed clauses: 252
% 0.15/0.46 % ...number of literals in the above : 816
% 0.15/0.46 % Current number of archived formulas : 0
% 0.15/0.46 % Current number of archived clauses : 27
% 0.15/0.46 % Clause-clause subsumption calls (NU) : 378
% 0.15/0.46 % Rec. Clause-clause subsumption calls : 332
% 0.15/0.46 % Non-unit clause-clause subsumptions : 5
% 0.15/0.46 % Unit Clause-clause subsumption calls : 32
% 0.15/0.46 % Rewrite failures with RHS unbound : 0
% 0.15/0.46 % BW rewrite match attempts : 22
% 0.15/0.46 % BW rewrite match successes : 20
% 0.15/0.46 % Condensation attempts : 0
% 0.15/0.46 % Condensation successes : 0
% 0.15/0.46 % Termbank termtop insertions : 12106
% 0.15/0.46 % Search garbage collected termcells : 1503
% 0.15/0.46
% 0.15/0.46 % -------------------------------------------------
% 0.15/0.46 % User time : 0.013 s
% 0.15/0.46 % System time : 0.003 s
% 0.15/0.46 % Total time : 0.016 s
% 0.15/0.46 % Maximum resident set size: 4472 pages
% 0.15/0.46
% 0.15/0.46 % -------------------------------------------------
% 0.15/0.46 % User time : 0.022 s
% 0.15/0.46 % System time : 0.006 s
% 0.15/0.46 % Total time : 0.028 s
% 0.15/0.46 % Maximum resident set size: 4864 pages
% 0.15/0.46 % E exiting
%------------------------------------------------------------------------------