%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN311-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 03:23:37 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 33 ( 15 unt; 0 nHn; 33 RR)
% Number of literals : 51 ( 0 equ; 28 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause6,negated_conjecture,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
cnf(clause4,negated_conjecture,
( ~ p(X1,X2,X3,X4)
| p(f(X1),X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause2,negated_conjecture,
( ~ p(X4,X3,X2,X1)
| p(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(clause1,negated_conjecture,
( ~ p(X2,X3,X4,X1)
| p(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause3,negated_conjecture,
( ~ p(X1,X2,X3,X4)
| p(X1,X2,X3,g(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause5,negated_conjecture,
p(a,b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
cnf(c_0_6,negated_conjecture,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
inference(fof_simplification,[status(thm)],[clause6]) ).
cnf(c_0_7,negated_conjecture,
( ~ p(X1,X2,X3,X4)
| p(f(X1),X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[clause4]) ).
cnf(c_0_8,negated_conjecture,
( ~ p(X4,X3,X2,X1)
| p(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[clause2]) ).
cnf(c_0_9,negated_conjecture,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
c_0_6 ).
cnf(c_0_10,negated_conjecture,
( ~ p(X1,X2,X3,X4)
| p(f(X1),X2,X3,X4) ),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
( ~ p(X4,X3,X2,X1)
| p(X1,X2,X3,X4) ),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
( ~ p(X2,X3,X4,X1)
| p(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_13,negated_conjecture,
~ p(g(d),f(g(c)),f(g(b)),f(g(a))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( ~ p(X4,X3,X2,X1)
| p(X1,X2,X3,f(X4)) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( ~ p(X1,X2,X3,X4)
| p(X1,X2,X3,g(X4)) ),
inference(fof_simplification,[status(thm)],[clause3]) ).
cnf(c_0_16,negated_conjecture,
( ~ p(X2,X3,X4,X1)
| p(X1,X2,X3,X4) ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
~ p(g(a),f(g(b)),f(g(c)),g(d)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ p(X1,X2,X3,X4)
| p(X1,X2,X3,g(X4)) ),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
( ~ p(X2,X3,X4,X1)
| p(X1,f(X2),X3,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
cnf(c_0_20,negated_conjecture,
~ p(g(a),f(g(b)),f(g(c)),d),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( ~ p(X3,X4,X1,X2)
| p(X1,X2,f(X3),X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
~ p(g(c),d,g(a),f(g(b))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
~ p(g(b),g(a),d,g(c)),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( ~ p(X2,X3,X4,X1)
| p(g(X1),X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
p(a,b,c,d),
clause5 ).
cnf(c_0_26,negated_conjecture,
~ p(g(b),g(a),d,c),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_27,negated_conjecture,
( ~ p(X3,X4,X1,X2)
| p(X1,g(X2),X3,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
p(d,c,b,a),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
~ p(d,c,g(b),a),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( ~ p(X4,X1,X2,X3)
| p(X1,X2,g(X3),X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
p(a,d,c,b),
inference(spm,[status(thm)],[c_0_16,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN311-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.36 % Computer : n013.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 10:48:26 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/5.43 % Version: 3.5.1
% 0.14/5.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/5.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/5.43 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.43 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.43 % Starting sh5l with 300s (1) cores
% 0.14/5.43 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 589666 completed with status 0
% 0.14/5.43 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/5.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/5.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/5.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.43 % No SInE strategy applied
% 0.14/5.43 % Search class: FHUNF-FFSF11-SFFFFFNN
% 0.14/5.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/5.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/5.43 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.43 % Starting new_bool_1 with 136s (1) cores
% 0.14/5.43 % SubtermCWHack with pid 589670 completed with status 0
% 0.14/5.43 % Result found by SubtermCWHack
% 0.14/5.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/5.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/5.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.43 % No SInE strategy applied
% 0.14/5.43 % Search class: FHUNF-FFSF11-SFFFFFNN
% 0.14/5.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.43 % Preprocessing time : 0.001 s
% 0.14/5.43
% 0.14/5.43 % Proof found!
% 0.14/5.43 % SZS status Unsatisfiable
% 0.14/5.43 % SZS output start CNFRefutation
% See solution above
% 0.14/5.43 % Parsed axioms : 6
% 0.14/5.43 % Removed by relevancy pruning/SinE : 0
% 0.14/5.43 % Initial clauses : 6
% 0.14/5.43 % Removed in clause preprocessing : 0
% 0.14/5.43 % Initial clauses in saturation : 6
% 0.14/5.43 % Processed clauses : 39
% 0.14/5.43 % ...of these trivial : 2
% 0.14/5.43 % ...subsumed : 4
% 0.14/5.43 % ...remaining for further processing : 33
% 0.14/5.43 % Other redundant clauses eliminated : 0
% 0.14/5.43 % Clauses deleted for lack of memory : 0
% 0.14/5.43 % Backward-subsumed : 0
% 0.14/5.43 % Backward-rewritten : 0
% 0.14/5.43 % Generated clauses : 91
% 0.14/5.43 % ...of the previous two non-redundant : 82
% 0.14/5.43 % ...aggressively subsumed : 0
% 0.14/5.43 % Contextual simplify-reflections : 0
% 0.14/5.43 % Paramodulations : 91
% 0.14/5.43 % Factorizations : 0
% 0.14/5.43 % NegExts : 0
% 0.14/5.43 % Equation resolutions : 0
% 0.14/5.43 % Disequality decompositions : 0
% 0.14/5.43 % Total rewrite steps : 10
% 0.14/5.43 % ...of those cached : 2
% 0.14/5.43 % Propositional unsat checks : 0
% 0.14/5.43 % Propositional check models : 0
% 0.14/5.43 % Propositional check unsatisfiable : 0
% 0.14/5.43 % Propositional clauses : 0
% 0.14/5.43 % Propositional clauses after purity: 0
% 0.14/5.43 % Propositional unsat core size : 0
% 0.14/5.43 % Propositional preprocessing time : 0.000
% 0.14/5.43 % Propositional encoding time : 0.000
% 0.14/5.43 % Propositional solver time : 0.000
% 0.14/5.43 % Success case prop preproc time : 0.000
% 0.14/5.43 % Success case prop encoding time : 0.000
% 0.14/5.43 % Success case prop solver time : 0.000
% 0.14/5.43 % Current number of processed clauses : 33
% 0.14/5.43 % Positive orientable unit clauses : 8
% 0.14/5.43 % Positive unorientable unit clauses: 0
% 0.14/5.43 % Negative unit clauses : 9
% 0.14/5.43 % Non-unit-clauses : 16
% 0.14/5.43 % Current number of unprocessed clauses: 49
% 0.14/5.43 % ...number of literals in the above : 61
% 0.14/5.43 % Current number of archived formulas : 0
% 0.14/5.43 % Current number of archived clauses : 0
% 0.14/5.43 % Clause-clause subsumption calls (NU) : 149
% 0.14/5.43 % Rec. Clause-clause subsumption calls : 149
% 0.14/5.43 % Non-unit clause-clause subsumptions : 4
% 0.14/5.43 % Unit Clause-clause subsumption calls : 36
% 0.14/5.43 % Rewrite failures with RHS unbound : 0
% 0.14/5.43 % BW rewrite match attempts : 0
% 0.14/5.43 % BW rewrite match successes : 0
% 0.14/5.43 % Condensation attempts : 0
% 0.14/5.43 % Condensation successes : 0
% 0.14/5.43 % Termbank termtop insertions : 684
% 0.14/5.43 % Search garbage collected termcells : 11
% 0.14/5.43
% 0.14/5.43 % -------------------------------------------------
% 0.14/5.43 % User time : 0.003 s
% 0.14/5.43 % System time : 0.002 s
% 0.14/5.43 % Total time : 0.005 s
% 0.14/5.43 % Maximum resident set size: 3632 pages
% 0.14/5.43
% 0.14/5.43 % -------------------------------------------------
% 0.14/5.43 % User time : 0.014 s
% 0.14/5.43 % System time : 0.008 s
% 0.14/5.43 % Total time : 0.022 s
% 0.14/5.43 % Maximum resident set size: 4864 pages
% 0.14/5.43 % E exiting
%------------------------------------------------------------------------------