TSTP Solution File: SYN159-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN159-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:29:28 EDT 2024
% Result : Unsatisfiable 4.05s 1.20s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 62
% Syntax : Number of clauses : 161 ( 25 unt; 7 nHn; 156 RR)
% Number of literals : 412 ( 0 equ; 259 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 48 ( 47 usr; 16 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 158 ( 48 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ n5(a,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_50,plain,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(c_51,plain,
q0(e,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_2) ).
cnf(c_54,plain,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(c_55,plain,
q0(b,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_6) ).
cnf(c_56,plain,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
cnf(c_58,plain,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
cnf(c_59,plain,
p0(b,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_10) ).
cnf(c_60,plain,
n0(e,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_11) ).
cnf(c_62,plain,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(c_63,plain,
p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(c_67,plain,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
cnf(c_68,plain,
m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(c_69,plain,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(c_76,plain,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
cnf(c_77,plain,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(c_78,plain,
q0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
cnf(c_79,plain,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(c_81,plain,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
cnf(c_83,plain,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(c_85,plain,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
cnf(c_86,plain,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(c_88,plain,
( ~ n0(X0,X1)
| k1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(c_89,plain,
( ~ n0(X0,X1)
| l1(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(c_90,plain,
( ~ m0(X0,X1,X2)
| ~ p0(X2,X1)
| ~ r0(X3)
| l1(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_003) ).
cnf(c_108,plain,
( ~ l0(X0)
| ~ k0(X1)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
cnf(c_137,plain,
( ~ p0(b,X0)
| ~ l0(X1)
| ~ s0(b)
| n1(X1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_050) ).
cnf(c_141,plain,
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_054) ).
cnf(c_155,plain,
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
cnf(c_175,plain,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
cnf(c_177,plain,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_090) ).
cnf(c_179,plain,
( ~ n0(X0,X1)
| ~ p0(X2,X3)
| q1(X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_092) ).
cnf(c_187,plain,
( ~ n0(X0,X1)
| q1(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_100) ).
cnf(c_200,plain,
( ~ m1(X0,X1,X1)
| ~ r0(X2)
| q1(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_113) ).
cnf(c_211,plain,
( ~ q1(d,X0,d)
| ~ q0(X1,X0)
| ~ s0(d)
| r1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
cnf(c_212,plain,
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(c_213,plain,
( ~ q0(X0,X1)
| ~ s1(X2)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(c_220,plain,
( ~ m0(X0,X1,X2)
| ~ p0(X3,X3)
| ~ s1(X1)
| l2(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
cnf(c_224,plain,
( ~ p1(X0,X1,X2)
| n2(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(c_232,plain,
( ~ p1(X0,X1,e)
| ~ r0(e)
| p2(e,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_145) ).
cnf(c_242,plain,
( ~ p2(e,X0,X1)
| ~ k1(X2)
| p2(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_155) ).
cnf(c_263,plain,
( ~ m1(X0,X1,X0)
| p2(X1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).
cnf(c_264,plain,
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_177) ).
cnf(c_268,plain,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(c_269,plain,
( ~ n1(X0,X1,X2)
| ~ p1(X1,X1,X2)
| ~ q2(X0,X2,X1)
| q2(X1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_182) ).
cnf(c_273,plain,
( ~ l1(X0,X1)
| q2(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_186) ).
cnf(c_275,plain,
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).
cnf(c_276,plain,
( ~ q2(b,X0,b)
| ~ s1(b)
| s2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
cnf(c_297,plain,
( ~ n2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).
cnf(c_314,plain,
( ~ q0(X0,X1)
| ~ s0(X2)
| ~ r2(X3)
| ~ s2(X1)
| m3(X3,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_227) ).
cnf(c_323,plain,
( ~ n2(X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).
cnf(c_327,plain,
( ~ p2(X0,X1,X2)
| n3(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(c_342,plain,
( ~ q2(X0,X1,X2)
| ~ n0(X0,X1)
| q3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(c_345,plain,
( ~ l2(X0,X0)
| ~ s1(X1)
| ~ r2(X2)
| q3(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_258) ).
cnf(c_354,plain,
( ~ p2(X0,X1,X2)
| r3(X0,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).
cnf(c_361,plain,
( ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e)
| k4(c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_274) ).
cnf(c_363,plain,
( ~ r3(X0,e,X1)
| ~ q1(a,a,X1)
| ~ q3(X0,X0)
| k4(e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_276) ).
cnf(c_371,plain,
( ~ m3(X0,X0,X0)
| ~ k4(X1)
| n4(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_284) ).
cnf(c_372,plain,
( ~ r3(X0,X1,X0)
| ~ r0(X1)
| p4(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_285) ).
cnf(c_382,plain,
( ~ q2(X0,X1,X2)
| ~ k3(X3,X3,X2)
| ~ m3(X0,X4,X0)
| q4(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).
cnf(c_394,plain,
( ~ p4(X0,X0,X1)
| ~ n5(X0,X1)
| ~ n4(X2,X3)
| ~ q4(X4,X3)
| n5(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_307) ).
cnf(c_402,plain,
( ~ s1(X0)
| ~ k4(X0)
| n5(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_315) ).
cnf(c_419,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_420,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_427,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[c_212]) ).
cnf(c_438,plain,
( ~ n2(b)
| m3(b,b,b) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_440,plain,
( ~ n2(b)
| k3(b,b,b) ),
inference(instantiation,[status(thm)],[c_297]) ).
cnf(c_442,plain,
( ~ p1(b,b,b)
| n2(b) ),
inference(instantiation,[status(thm)],[c_224]) ).
cnf(c_444,plain,
( ~ k0(b)
| p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_475,plain,
( ~ p1(b,b,b)
| q2(b,b,b) ),
inference(instantiation,[status(thm)],[c_268]) ).
cnf(c_490,plain,
( ~ q2(b,b,b)
| ~ s1(b)
| s2(b) ),
inference(instantiation,[status(thm)],[c_276]) ).
cnf(c_656,plain,
( ~ p1(X0,X1,e)
| p2(e,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_232,c_62,c_232]) ).
cnf(c_672,plain,
( ~ q3(e,b)
| ~ n3(e)
| k4(c) ),
inference(global_subsumption_just,[status(thm)],[c_361,c_83,c_361]) ).
cnf(c_689,plain,
( ~ q0(X1,X0)
| ~ q1(d,X0,d)
| r1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_211,c_50,c_211]) ).
cnf(c_690,plain,
( ~ q1(d,X0,d)
| ~ q0(X1,X0)
| r1(X1) ),
inference(renaming,[status(thm)],[c_689]) ).
cnf(c_694,plain,
( ~ l0(X1)
| n1(X1,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_137,c_54,c_63,c_137]) ).
cnf(c_695,plain,
( ~ l0(X0)
| n1(X0,X1,X0) ),
inference(renaming,[status(thm)],[c_694]) ).
cnf(c_752,plain,
( ~ k4(X0)
| ~ sP20_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_371]) ).
cnf(c_753,plain,
( ~ m3(X0,X0,X0)
| n4(X0,X0)
| ~ sP21_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_371]) ).
cnf(c_754,plain,
( sP20_iProver_def
| sP21_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).
cnf(c_760,plain,
( ~ s1(X0)
| ~ sP25_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_345]) ).
cnf(c_761,plain,
( q3(X0,X0)
| ~ r2(X0)
| ~ sP26_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_345]) ).
cnf(c_762,plain,
( ~ l2(X0,X0)
| ~ sP27_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_345]) ).
cnf(c_763,plain,
( sP25_iProver_def
| sP26_iProver_def
| sP27_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_345]) ).
cnf(c_772,plain,
( m3(X0,X0,X0)
| ~ r2(X0)
| ~ sP33_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP33_iProver_def])],[c_314]) ).
cnf(c_773,plain,
( ~ s0(X0)
| ~ sP34_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP34_iProver_def])],[c_314]) ).
cnf(c_774,plain,
( ~ q0(X0,X1)
| ~ s2(X1)
| ~ sP35_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP35_iProver_def])],[c_314]) ).
cnf(c_775,plain,
( sP33_iProver_def
| sP34_iProver_def
| sP35_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_314]) ).
cnf(c_816,plain,
( ~ k1(X0)
| ~ sP62_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP62_iProver_def])],[c_242]) ).
cnf(c_817,plain,
( p2(X0,X1,X1)
| ~ p2(e,X0,X1)
| ~ sP63_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP63_iProver_def])],[c_242]) ).
cnf(c_818,plain,
( sP62_iProver_def
| sP63_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_242]) ).
cnf(c_825,plain,
( ~ p0(X0,X0)
| ~ sP68_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP68_iProver_def])],[c_220]) ).
cnf(c_826,plain,
( ~ m0(X0,X1,X2)
| l2(X2,X2)
| ~ s1(X1)
| ~ sP69_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP69_iProver_def])],[c_220]) ).
cnf(c_827,plain,
( sP68_iProver_def
| sP69_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_220]) ).
cnf(c_828,plain,
( ~ q0(X0,X1)
| s1(X0)
| ~ sP70_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP70_iProver_def])],[c_213]) ).
cnf(c_829,plain,
( sP25_iProver_def
| sP70_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_213]) ).
cnf(c_830,plain,
( ~ r0(X0)
| ~ sP71_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP71_iProver_def])],[c_200]) ).
cnf(c_873,plain,
( ~ m0(X0,X1,X2)
| l1(X1,X0)
| ~ p0(X2,X1)
| ~ sP97_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP97_iProver_def])],[c_90]) ).
cnf(c_874,plain,
( sP71_iProver_def
| sP97_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_90]) ).
cnf(c_879,plain,
( ~ s1(b)
| ~ sP25_iProver_def ),
inference(instantiation,[status(thm)],[c_760]) ).
cnf(c_881,plain,
( ~ s0(b)
| ~ sP34_iProver_def ),
inference(instantiation,[status(thm)],[c_773]) ).
cnf(c_884,plain,
( ~ k1(b)
| ~ sP62_iProver_def ),
inference(instantiation,[status(thm)],[c_816]) ).
cnf(c_885,plain,
( ~ r0(b)
| ~ sP71_iProver_def ),
inference(instantiation,[status(thm)],[c_830]) ).
cnf(c_889,plain,
( ~ l2(b,b)
| ~ sP27_iProver_def ),
inference(instantiation,[status(thm)],[c_762]) ).
cnf(c_894,plain,
( ~ p0(b,b)
| ~ sP68_iProver_def ),
inference(instantiation,[status(thm)],[c_825]) ).
cnf(c_916,plain,
( ~ q0(b,b)
| ~ s2(b)
| ~ sP35_iProver_def ),
inference(instantiation,[status(thm)],[c_774]) ).
cnf(c_957,plain,
( ~ p1(e,e,e)
| p2(e,e,e) ),
inference(instantiation,[status(thm)],[c_656]) ).
cnf(c_972,plain,
( ~ n0(d,b)
| k1(b) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_990,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1004,plain,
( ~ q0(d,X0)
| ~ sP70_iProver_def
| s1(d) ),
inference(instantiation,[status(thm)],[c_828]) ).
cnf(c_1005,plain,
( ~ q0(d,b)
| ~ sP70_iProver_def
| s1(d) ),
inference(instantiation,[status(thm)],[c_1004]) ).
cnf(c_1040,plain,
( ~ l0(a)
| n1(a,X0,a) ),
inference(instantiation,[status(thm)],[c_695]) ).
cnf(c_1041,plain,
( ~ l0(a)
| n1(a,b,a) ),
inference(instantiation,[status(thm)],[c_1040]) ).
cnf(c_1076,plain,
( ~ k0(X0)
| ~ l0(a)
| m1(a,X0,a) ),
inference(instantiation,[status(thm)],[c_108]) ).
cnf(c_1128,plain,
( ~ n0(b,a)
| q1(a,a,a) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_1205,plain,
( ~ m1(X0,e,X0)
| p2(e,X0,e) ),
inference(instantiation,[status(thm)],[c_263]) ).
cnf(c_1215,plain,
( ~ p2(X0,X1,e)
| r3(X0,e,X0) ),
inference(instantiation,[status(thm)],[c_354]) ).
cnf(c_1227,plain,
( ~ m0(X0,d,X1)
| ~ s1(d)
| ~ sP69_iProver_def
| l2(X1,X1) ),
inference(instantiation,[status(thm)],[c_826]) ).
cnf(c_1228,plain,
( ~ m0(b,d,b)
| ~ s1(d)
| ~ sP69_iProver_def
| l2(b,b) ),
inference(instantiation,[status(thm)],[c_1227]) ).
cnf(c_1261,plain,
( ~ p0(X0,X1)
| ~ n0(e,b)
| q1(X1,b,X1) ),
inference(instantiation,[status(thm)],[c_179]) ).
cnf(c_1289,plain,
( ~ q2(e,e,X0)
| ~ n0(e,e)
| q3(e,X0) ),
inference(instantiation,[status(thm)],[c_342]) ).
cnf(c_1290,plain,
( ~ q2(e,e,b)
| ~ n0(e,e)
| q3(e,b) ),
inference(instantiation,[status(thm)],[c_1289]) ).
cnf(c_1303,plain,
( ~ m0(e,b,c)
| ~ p0(c,b)
| ~ sP97_iProver_def
| l1(b,e) ),
inference(instantiation,[status(thm)],[c_873]) ).
cnf(c_1499,plain,
( ~ l1(b,e)
| q2(e,e,b) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_1526,plain,
( ~ p1(a,a,a)
| ~ k0(b)
| q2(a,b,b) ),
inference(instantiation,[status(thm)],[c_264]) ).
cnf(c_1539,plain,
( ~ n1(a,b,X0)
| ~ p1(b,b,X0)
| ~ q2(a,X0,b)
| q2(b,a,b) ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_1540,plain,
( ~ n1(a,b,b)
| ~ p1(b,b,b)
| ~ q2(a,b,b)
| q2(b,a,b) ),
inference(instantiation,[status(thm)],[c_1539]) ).
cnf(c_1565,plain,
( ~ m1(a,e,a)
| p2(e,a,e) ),
inference(instantiation,[status(thm)],[c_1205]) ).
cnf(c_1566,plain,
( ~ l0(a)
| ~ k0(e)
| m1(a,e,a) ),
inference(instantiation,[status(thm)],[c_1076]) ).
cnf(c_1615,plain,
( ~ q0(e,X0)
| ~ sP70_iProver_def
| s1(e) ),
inference(instantiation,[status(thm)],[c_828]) ).
cnf(c_1618,plain,
( ~ p2(e,a,e)
| r3(e,e,e) ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_1646,plain,
( ~ p0(X0,d)
| ~ n0(e,b)
| q1(d,b,d) ),
inference(instantiation,[status(thm)],[c_1261]) ).
cnf(c_1648,plain,
( ~ n0(e,b)
| ~ p0(b,d)
| q1(d,b,d) ),
inference(instantiation,[status(thm)],[c_1646]) ).
cnf(c_1748,plain,
( ~ p2(e,X0,e)
| ~ sP63_iProver_def
| p2(X0,e,e) ),
inference(instantiation,[status(thm)],[c_817]) ).
cnf(c_1885,plain,
( ~ l0(a)
| ~ r1(a)
| r2(a) ),
inference(instantiation,[status(thm)],[c_275]) ).
cnf(c_2012,plain,
( ~ n1(X0,X1,X0)
| ~ l1(a,X0)
| ~ l0(a)
| n1(X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_141]) ).
cnf(c_2103,plain,
( ~ p2(X0,e,e)
| r3(X0,e,X0) ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_2156,plain,
( ~ q1(d,X0,d)
| ~ q0(a,X0)
| r1(a) ),
inference(instantiation,[status(thm)],[c_690]) ).
cnf(c_2157,plain,
( ~ q1(d,b,d)
| ~ q0(a,b)
| r1(a) ),
inference(instantiation,[status(thm)],[c_2156]) ).
cnf(c_2189,plain,
( ~ p2(X0,X1,e)
| n3(e) ),
inference(instantiation,[status(thm)],[c_327]) ).
cnf(c_2233,plain,
( ~ q0(e,d)
| ~ sP70_iProver_def
| s1(e) ),
inference(instantiation,[status(thm)],[c_1615]) ).
cnf(c_2260,plain,
( ~ r3(X0,e,a)
| ~ q1(a,a,a)
| ~ q3(X0,X0)
| k4(e) ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_2278,plain,
( ~ r2(a)
| ~ sP26_iProver_def
| q3(a,a) ),
inference(instantiation,[status(thm)],[c_761]) ).
cnf(c_2281,plain,
( ~ r2(a)
| ~ sP33_iProver_def
| m3(a,a,a) ),
inference(instantiation,[status(thm)],[c_772]) ).
cnf(c_2502,plain,
( ~ n1(a,X0,a)
| ~ l1(a,a)
| ~ l0(a)
| n1(a,X0,X0) ),
inference(instantiation,[status(thm)],[c_2012]) ).
cnf(c_2504,plain,
( ~ n1(a,b,a)
| ~ l1(a,a)
| ~ l0(a)
| n1(a,b,b) ),
inference(instantiation,[status(thm)],[c_2502]) ).
cnf(c_2825,plain,
( ~ p2(e,e,e)
| n3(e) ),
inference(instantiation,[status(thm)],[c_2189]) ).
cnf(c_3033,plain,
( ~ q1(a,a,a)
| ~ r3(a,e,a)
| ~ q3(a,a)
| k4(e) ),
inference(instantiation,[status(thm)],[c_2260]) ).
cnf(c_3034,plain,
( ~ p2(a,e,e)
| r3(a,e,a) ),
inference(instantiation,[status(thm)],[c_2103]) ).
cnf(c_3583,plain,
( ~ k4(c)
| ~ sP20_iProver_def ),
inference(instantiation,[status(thm)],[c_752]) ).
cnf(c_3635,plain,
( ~ p2(e,a,e)
| ~ sP63_iProver_def
| p2(a,e,e) ),
inference(instantiation,[status(thm)],[c_1748]) ).
cnf(c_3823,plain,
( ~ p4(X0,X0,e)
| ~ q4(X1,X2)
| ~ n5(X0,e)
| ~ n4(a,X2)
| n5(a,e) ),
inference(instantiation,[status(thm)],[c_394]) ).
cnf(c_4224,plain,
( ~ p4(e,e,e)
| ~ q4(X0,X1)
| ~ n4(a,X1)
| ~ n5(e,e)
| n5(a,e) ),
inference(instantiation,[status(thm)],[c_3823]) ).
cnf(c_4244,plain,
( ~ s1(e)
| ~ k4(e)
| n5(e,e) ),
inference(instantiation,[status(thm)],[c_402]) ).
cnf(c_4599,plain,
( ~ r3(e,e,e)
| ~ r0(e)
| p4(e,e,e) ),
inference(instantiation,[status(thm)],[c_372]) ).
cnf(c_4606,plain,
( ~ p4(e,e,e)
| ~ q4(X0,a)
| ~ n5(e,e)
| ~ n4(a,a)
| n5(a,e) ),
inference(instantiation,[status(thm)],[c_4224]) ).
cnf(c_4607,plain,
( ~ m3(a,a,a)
| ~ sP21_iProver_def
| n4(a,a) ),
inference(instantiation,[status(thm)],[c_753]) ).
cnf(c_4608,plain,
( ~ p4(e,e,e)
| ~ n5(e,e)
| ~ n4(a,a)
| ~ q4(b,a)
| n5(a,e) ),
inference(instantiation,[status(thm)],[c_4606]) ).
cnf(c_4793,plain,
( ~ k3(X0,X0,X1)
| ~ m3(X2,X3,X2)
| ~ q2(X2,a,X1)
| q4(X1,a) ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_4794,plain,
( ~ q2(b,a,b)
| ~ k3(b,b,b)
| ~ m3(b,b,b)
| q4(b,a) ),
inference(instantiation,[status(thm)],[c_4793]) ).
cnf(c_4795,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4794,c_4607,c_4608,c_4599,c_4244,c_3635,c_3583,c_3034,c_3033,c_2825,c_2504,c_2278,c_2281,c_2233,c_2157,c_1885,c_1648,c_1618,c_1566,c_1565,c_1540,c_1526,c_1499,c_1303,c_1290,c_1228,c_1128,c_1041,c_1005,c_990,c_972,c_957,c_916,c_894,c_889,c_885,c_884,c_881,c_879,c_775,c_763,c_874,c_829,c_827,c_818,c_754,c_672,c_177,c_490,c_475,c_444,c_175,c_442,c_440,c_438,c_427,c_420,c_76,c_49,c_51,c_55,c_56,c_59,c_60,c_419,c_67,c_78,c_79,c_85,c_86,c_54,c_58,c_62,c_69,c_77,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN159-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:14:18 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.05/1.20 % SZS status Started for theBenchmark.p
% 4.05/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.05/1.20
% 4.05/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.05/1.20
% 4.05/1.20 ------ iProver source info
% 4.05/1.20
% 4.05/1.20 git: date: 2024-05-02 19:28:25 +0000
% 4.05/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.05/1.20 git: non_committed_changes: false
% 4.05/1.20
% 4.05/1.20 ------ Parsing...successful
% 4.05/1.20
% 4.05/1.20 ------ preprocesses with Option_epr_horn
% 4.05/1.20
% 4.05/1.20
% 4.05/1.20 ------ Preprocessing... sf_s rm: 32 0s sf_e sf_s rm: 0 0s sf_e
% 4.05/1.20
% 4.05/1.20 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 4.05/1.20 gs_s sp: 112 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.05/1.20 ------ Proving...
% 4.05/1.20 ------ Problem Properties
% 4.05/1.20
% 4.05/1.20
% 4.05/1.20 clauses 408
% 4.05/1.20 conjectures 1
% 4.05/1.20 EPR 408
% 4.05/1.20 Horn 353
% 4.05/1.20 unary 52
% 4.05/1.20 binary 165
% 4.05/1.20 lits 1025
% 4.05/1.20 lits eq 0
% 4.05/1.20 fd_pure 0
% 4.05/1.20 fd_pseudo 0
% 4.05/1.20 fd_cond 0
% 4.05/1.20 fd_pseudo_cond 0
% 4.05/1.20 AC symbols 0
% 4.05/1.20
% 4.05/1.20 ------ Schedule EPR non Horn non eq is on
% 4.05/1.20
% 4.05/1.20 ------ no equalities: superposition off
% 4.05/1.20
% 4.05/1.20 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.05/1.20
% 4.05/1.20
% 4.05/1.20 ------
% 4.05/1.20 Current options:
% 4.05/1.20 ------
% 4.05/1.20
% 4.05/1.20
% 4.05/1.20
% 4.05/1.20
% 4.05/1.20 ------ Proving...
% 4.05/1.20
% 4.05/1.20
% 4.05/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.05/1.20
% 4.05/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.05/1.20
% 4.05/1.20
%------------------------------------------------------------------------------