%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP704-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:40:59 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 13 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(f10,axiom,
mult(X1,mult(op_c,X2)) = mult(mult(X1,op_c),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f10) ).
cnf(goal,negated_conjecture,
mult(op_f,mult(x4,x5)) != mult(mult(op_f,x4),x5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(f13,axiom,
op_f = mult(X1,mult(X2,ld(mult(X1,X2),op_c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f13) ).
cnf(f08,axiom,
mult(op_c,mult(X1,X2)) = mult(mult(op_c,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
cnf(c_0_5,axiom,
mult(X1,ld(X1,X2)) = X2,
f01 ).
cnf(c_0_6,axiom,
mult(X1,mult(op_c,X2)) = mult(mult(X1,op_c),X2),
f10 ).
cnf(c_0_7,negated_conjecture,
mult(op_f,mult(x4,x5)) != mult(mult(op_f,x4),x5),
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_8,axiom,
op_f = mult(X1,mult(X2,ld(mult(X1,X2),op_c))),
f13 ).
cnf(c_0_9,plain,
mult(X1,mult(op_c,ld(mult(X1,op_c),X2))) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
mult(op_f,mult(x4,x5)) != mult(mult(op_f,x4),x5),
c_0_7 ).
cnf(c_0_11,plain,
op_f = op_c,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
mult(op_c,mult(X1,X2)) = mult(mult(op_c,X1),X2),
f08 ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP704-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/10.38 % Computer : n016.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Sun Sep 20 20:39:17 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.43 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
% 0.14/10.44 % Version: 3.5.1
% 0.14/10.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.44 % Starting sh5l with 300s (1) cores
% 0.14/10.44 % new_bool_3 with pid 767260 completed with status 0
% 0.14/10.44 % Result found by new_bool_3
% 0.14/10.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/10.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/10.44 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.14/10.44 % Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 0.14/10.44 % Starting SubtermCWHack with 28s (1) cores
% 0.14/10.44 % SubtermCWHack with pid 767266 completed with status 0
% 0.14/10.44 % Result found by SubtermCWHack
% 0.14/10.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/10.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/10.44 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.14/10.44 % Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 0.14/10.44 % Starting SubtermCWHack with 28s (1) cores
% 0.14/10.44 % Preprocessing time : 0.001 s
% 0.14/10.44
% 0.14/10.44 % Proof found!
% 0.14/10.44 % SZS status Unsatisfiable
% 0.14/10.44 % SZS output start CNFRefutation
% See solution above
% 0.14/10.44 % Parsed axioms : 14
% 0.14/10.44 % Removed by relevancy pruning/SinE : 6
% 0.14/10.44 % Initial clauses : 8
% 0.14/10.44 % Removed in clause preprocessing : 0
% 0.14/10.44 % Initial clauses in saturation : 8
% 0.14/10.44 % Processed clauses : 9
% 0.14/10.44 % ...of these trivial : 0
% 0.14/10.44 % ...subsumed : 0
% 0.14/10.44 % ...remaining for further processing : 9
% 0.14/10.44 % Other redundant clauses eliminated : 0
% 0.14/10.44 % Clauses deleted for lack of memory : 0
% 0.14/10.44 % Backward-subsumed : 0
% 0.14/10.44 % Backward-rewritten : 2
% 0.14/10.44 % Generated clauses : 36
% 0.14/10.44 % ...of the previous two non-redundant : 33
% 0.14/10.44 % ...aggressively subsumed : 0
% 0.14/10.44 % Contextual simplify-reflections : 0
% 0.14/10.44 % Paramodulations : 36
% 0.14/10.44 % Factorizations : 0
% 0.14/10.44 % NegExts : 0
% 0.14/10.44 % Equation resolutions : 0
% 0.14/10.44 % Disequality decompositions : 0
% 0.14/10.44 % Total rewrite steps : 29
% 0.14/10.44 % ...of those cached : 4
% 0.14/10.44 % Propositional unsat checks : 0
% 0.14/10.44 % Propositional check models : 0
% 0.14/10.44 % Propositional check unsatisfiable : 0
% 0.14/10.44 % Propositional clauses : 0
% 0.14/10.44 % Propositional clauses after purity: 0
% 0.14/10.44 % Propositional unsat core size : 0
% 0.14/10.44 % Propositional preprocessing time : 0.000
% 0.14/10.44 % Propositional encoding time : 0.000
% 0.14/10.44 % Propositional solver time : 0.000
% 0.14/10.44 % Success case prop preproc time : 0.000
% 0.14/10.44 % Success case prop encoding time : 0.000
% 0.14/10.44 % Success case prop solver time : 0.000
% 0.14/10.44 % Current number of processed clauses : 7
% 0.14/10.44 % Positive orientable unit clauses : 7
% 0.14/10.44 % Positive unorientable unit clauses: 0
% 0.14/10.44 % Negative unit clauses : 0
% 0.14/10.44 % Non-unit-clauses : 0
% 0.14/10.44 % Current number of unprocessed clauses: 31
% 0.14/10.44 % ...number of literals in the above : 31
% 0.14/10.44 % Current number of archived formulas : 0
% 0.14/10.44 % Current number of archived clauses : 2
% 0.14/10.44 % Clause-clause subsumption calls (NU) : 0
% 0.14/10.44 % Rec. Clause-clause subsumption calls : 0
% 0.14/10.44 % Non-unit clause-clause subsumptions : 0
% 0.14/10.44 % Unit Clause-clause subsumption calls : 0
% 0.14/10.44 % Rewrite failures with RHS unbound : 0
% 0.14/10.44 % BW rewrite match attempts : 1
% 0.14/10.44 % BW rewrite match successes : 1
% 0.14/10.44 % Condensation attempts : 0
% 0.14/10.44 % Condensation successes : 0
% 0.14/10.44 % Termbank termtop insertions : 620
% 0.14/10.44 % Search garbage collected termcells : 20
% 0.14/10.44
% 0.14/10.44 % -------------------------------------------------
% 0.14/10.44 % User time : 0.003 s
% 0.14/10.44 % System time : 0.000 s
% 0.14/10.44 % Total time : 0.004 s
% 0.14/10.44 % Maximum resident set size: 3636 pages
% 0.14/10.44
% 0.14/10.44 % -------------------------------------------------
% 0.14/10.44 % User time : 0.007 s
% 0.14/10.44 % System time : 0.003 s
% 0.14/10.44 % Total time : 0.009 s
% 0.14/10.44 % Maximum resident set size: 4608 pages
% 0.14/10.44 % E exiting
%------------------------------------------------------------------------------