%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN037-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 : Fri Sep 25 03:38:56 PM UTC 2026
% Result : Unsatisfiable 1.91s 1.28s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 117 ( 1 unt; 0 def)
% Number of atoms : 428 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 540 ( 229 ~; 311 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 120 ( 0 sgn 120 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ p(fy(X0))
| ~ p(X0)
| ~ m3
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] :
( p(fy(X0))
| p(X0)
| ~ m3
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0] :
( p(X0)
| m3
| ~ p(cx)
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0] :
( p(cx)
| m3
| ~ p(X0)
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0] :
( q(X0)
| ~ q(cw)
| ~ m3
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0] :
( q(cw)
| ~ q(X0)
| ~ m3
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0] :
( m3
| ~ q(fz5(X0))
| ~ q(X0)
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
! [X0] :
( q(fz5(X0))
| q(X0)
| m3
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
! [X0] :
( p(X0)
| m1
| ~ p(cx)
| ~ m3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X0] :
( p(cx)
| m1
| ~ p(X0)
| ~ m3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f11,negated_conjecture,
! [X0] :
( m2
| ~ q(fz2(X0))
| ~ q(X0)
| ~ m3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
! [X0] :
( q(fz2(X0))
| q(X0)
| m2
| ~ m3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f13,negated_conjecture,
! [X0] :
( m3
| m1
| ~ p(fy3(X0))
| ~ p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
fof(f14,negated_conjecture,
! [X0] :
( q(X0)
| m3
| m2
| ~ q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
! [X0] :
( q(cw)
| m3
| m2
| ~ q(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
! [X0] :
( p(fy3(X0))
| p(X0)
| m3
| m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( q(X1)
| ~ q(X0)
| ~ m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( p(X1)
| ~ p(X0)
| ~ m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
fof(f19,negated_conjecture,
( m2
| ~ p(cvv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
( m1
| ~ q(cuu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f21,negated_conjecture,
( p(cv)
| m2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
fof(f22,negated_conjecture,
( q(cu)
| m1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
tcf(c_71,negated_conjecture,
! [X0: $i] :
( ~ m3
| ~ m1
| ~ p(X0)
| ~ p(fy(X0)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_72,negated_conjecture,
! [X0: $i] :
( p(X0)
| p(fy(X0))
| ~ m3
| ~ m1 ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_73,negated_conjecture,
! [X0: $i] :
( m3
| p(X0)
| ~ m1
| ~ p(cx) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_74,negated_conjecture,
! [X0: $i] :
( m3
| p(cx)
| ~ m1
| ~ p(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_75,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ m2
| ~ m3
| ~ q(cw) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_76,negated_conjecture,
! [X0: $i] :
( q(cw)
| ~ m2
| ~ m3
| ~ q(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_77,negated_conjecture,
! [X0: $i] :
( m3
| ~ m2
| ~ q(X0)
| ~ q(fz5(X0)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_78,negated_conjecture,
! [X0: $i] :
( m3
| q(X0)
| q(fz5(X0))
| ~ m2 ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_79,negated_conjecture,
! [X0: $i] :
( m1
| p(X0)
| ~ m3
| ~ p(cx) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] :
( m1
| p(cx)
| ~ m3
| ~ p(X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_81,negated_conjecture,
! [X0: $i] :
( m2
| ~ m3
| ~ q(X0)
| ~ q(fz2(X0)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_82,negated_conjecture,
! [X0: $i] :
( m2
| q(X0)
| q(fz2(X0))
| ~ m3 ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] :
( m3
| m1
| ~ p(X0)
| ~ p(fy3(X0)) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_84,negated_conjecture,
! [X0: $i] :
( m2
| m3
| q(X0)
| ~ q(cw) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_85,negated_conjecture,
! [X0: $i] :
( m2
| m3
| q(cw)
| ~ q(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] :
( m3
| m1
| p(X0)
| p(fy3(X0)) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i] :
( q(X1)
| ~ m1
| ~ q(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_88,negated_conjecture,
! [X0: $i,X1: $i] :
( p(X1)
| ~ m2
| ~ p(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_89,negated_conjecture,
( m2
| ~ p(cvv) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_90,negated_conjecture,
( m1
| ~ q(cuu) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_91,negated_conjecture,
( m2
| p(cv) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_92,negated_conjecture,
( m1
| q(cu) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_1154,plain,
! [X0: $i,X1: $i] :
( m1
| q(cw)
| p(X1)
| p(fy3(X1))
| ~ m2
| ~ q(X0) ),
inference(resolution,[status(thm)],[c_86,c_76]) ).
tcf(c_1167,plain,
! [X0: $i,X1: $i] :
( q(cw)
| p(X1)
| ~ m2
| ~ q(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1154,c_87,c_88]) ).
tcf(c_1172,plain,
! [X0: $i,X1: $i] :
( m1
| q(X1)
| p(X0)
| p(fy3(X0))
| ~ m2
| ~ q(cw) ),
inference(resolution,[status(thm)],[c_86,c_75]) ).
tcf(c_1185,plain,
! [X0: $i,X1: $i] :
( q(X1)
| p(X0)
| ~ m2
| ~ q(cw) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1172,c_87,c_88]) ).
tcf(c_1409,plain,
! [X0: $i,X1: $i] :
( m1
| q(cw)
| ~ m2
| ~ q(X1)
| ~ p(X0)
| ~ p(fy3(X0)) ),
inference(resolution,[status(thm)],[c_83,c_76]) ).
tcf(c_1416,plain,
! [X0: $i] :
( m1
| q(cw)
| ~ m2
| ~ q(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1409,c_1167,c_1167]) ).
tcf(c_1421,plain,
! [X0: $i] :
( q(cw)
| ~ m2
| ~ q(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1416,c_87]) ).
tcf(c_1425,plain,
! [X0: $i,X1: $i] :
( m1
| q(X1)
| ~ m2
| ~ q(cw)
| ~ p(X0)
| ~ p(fy3(X0)) ),
inference(resolution,[status(thm)],[c_83,c_75]) ).
tcf(c_1426,plain,
! [X0: $i,X1: $i] :
( m1
| q(X1)
| ~ m2
| ~ q(cw)
| ~ p(fy3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1425,c_1185,c_1425]) ).
tcf(c_1433,plain,
! [X0: $i] :
( m1
| q(X0)
| ~ m2
| ~ q(cw) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1426,c_1185]) ).
tcf(c_1438,plain,
! [X0: $i] :
( q(X0)
| ~ m2
| ~ q(cw) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1433,c_87]) ).
tcf(c_1457,plain,
! [X0: $i,X1: $i] :
( q(X1)
| p(X0)
| q(fz5(X1))
| p(fy(X0))
| ~ m2
| ~ m1 ),
inference(resolution,[status(thm)],[c_78,c_72]) ).
tcf(c_1471,plain,
! [X0: $i,X1: $i] :
( q(X1)
| p(X0)
| ~ m2
| ~ m1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1457,c_87,c_88]) ).
tcf(c_1477,plain,
! [X0: $i,X1: $i] :
( q(X1)
| q(fz5(X1))
| ~ m2
| ~ m1
| ~ p(X0)
| ~ p(fy(X0)) ),
inference(resolution,[status(thm)],[c_78,c_71]) ).
tcf(c_1479,plain,
! [X0: $i,X1: $i] :
( q(X1)
| q(fz5(X1))
| ~ m2
| ~ m1
| ~ p(fy(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1477,c_1471,c_1477]) ).
tcf(c_1487,plain,
! [X0: $i] :
( q(X0)
| q(fz5(X0))
| ~ m2
| ~ m1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1479,c_1471]) ).
tcf(c_1492,plain,
! [X0: $i] :
( q(X0)
| ~ m2
| ~ m1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1487,c_87]) ).
tcf(c_1509,plain,
! [X0: $i,X1: $i] :
( p(X1)
| p(fy(X1))
| ~ m2
| ~ m1
| ~ q(X0)
| ~ q(fz5(X0)) ),
inference(resolution,[status(thm)],[c_77,c_72]) ).
tcf(c_1511,plain,
! [X0: $i,X1: $i] :
( p(X1)
| p(fy(X1))
| ~ m2
| ~ m1
| ~ q(fz5(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1509,c_1492,c_1509]) ).
tcf(c_1519,plain,
! [X0: $i] :
( p(X0)
| p(fy(X0))
| ~ m2
| ~ m1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1511,c_1492]) ).
tcf(c_1524,plain,
! [X0: $i] :
( p(X0)
| ~ m2
| ~ m1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1519,c_88]) ).
tcf(c_1529,plain,
! [X0: $i,X1: $i] :
( ~ m2
| ~ m1
| ~ q(X1)
| ~ p(X0)
| ~ q(fz5(X1))
| ~ p(fy(X0)) ),
inference(resolution,[status(thm)],[c_77,c_71]) ).
tcf(c_1531,plain,
! [X0: $i,X1: $i] :
( ~ m2
| ~ m1
| ~ q(fz5(X1))
| ~ p(fy(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1529,c_87,c_1492,c_1524,c_1529]) ).
tcf(c_1538,plain,
( ~ m2
| ~ m1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1531,c_1492,c_1524]) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i] :
( m2
| p(cx)
| q(X1)
| q(fz2(X1))
| ~ m1
| ~ p(X0) ),
inference(resolution,[status(thm)],[c_74,c_82]) ).
tcf(c_1545,plain,
! [X0: $i,X1: $i] :
( ~ p(X0)
| ~ m1
| q(fz2(X1))
| q(X1)
| p(cx) ),
inference(global_subsumption_just,[status(thm)],[c_1543,c_1538,c_1543]) ).
tcf(c_1546,plain,
! [X0: $i,X1: $i] :
( p(cx)
| q(X1)
| q(fz2(X1))
| ~ m1
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_1545]) ).
tcf(c_1558,plain,
! [X0: $i,X1: $i] :
( p(cx)
| q(X1)
| ~ m1
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1546,c_87]) ).
tcf(c_1564,plain,
! [X0: $i,X1: $i] :
( m2
| p(cx)
| ~ m1
| ~ q(X0)
| ~ p(X1)
| ~ q(fz2(X0)) ),
inference(resolution,[status(thm)],[c_74,c_81]) ).
tcf(c_1566,plain,
! [X0: $i,X1: $i] :
( ~ q(fz2(X0))
| ~ p(X1)
| ~ q(X0)
| ~ m1
| p(cx) ),
inference(global_subsumption_just,[status(thm)],[c_1564,c_1538,c_1564]) ).
tcf(c_1567,plain,
! [X0: $i,X1: $i] :
( p(cx)
| ~ m1
| ~ q(X0)
| ~ p(X1)
| ~ q(fz2(X0)) ),
inference(renaming,[status(thm)],[c_1566]) ).
tcf(c_1574,plain,
! [X0: $i] :
( p(cx)
| ~ m1
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1567,c_1558,c_1558]) ).
tcf(c_1592,plain,
! [X0: $i,X1: $i] :
( m2
| q(X0)
| p(X1)
| q(fz2(X0))
| ~ m1
| ~ p(cx) ),
inference(resolution,[status(thm)],[c_73,c_82]) ).
tcf(c_1594,plain,
! [X0: $i,X1: $i] :
( ~ p(cx)
| ~ m1
| q(fz2(X0))
| p(X1)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1592,c_1538,c_1592]) ).
tcf(c_1595,plain,
! [X0: $i,X1: $i] :
( q(X0)
| p(X1)
| q(fz2(X0))
| ~ m1
| ~ p(cx) ),
inference(renaming,[status(thm)],[c_1594]) ).
tcf(c_1607,plain,
! [X0: $i,X1: $i] :
( q(X1)
| p(X0)
| ~ m1
| ~ p(cx) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1595,c_87]) ).
tcf(c_1613,plain,
! [X0: $i,X1: $i] :
( m2
| p(X1)
| ~ m1
| ~ p(cx)
| ~ q(X0)
| ~ q(fz2(X0)) ),
inference(resolution,[status(thm)],[c_73,c_81]) ).
tcf(c_1615,plain,
! [X0: $i,X1: $i] :
( ~ q(fz2(X0))
| ~ q(X0)
| ~ p(cx)
| ~ m1
| p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1613,c_1538,c_1613]) ).
tcf(c_1616,plain,
! [X0: $i,X1: $i] :
( p(X1)
| ~ m1
| ~ p(cx)
| ~ q(X0)
| ~ q(fz2(X0)) ),
inference(renaming,[status(thm)],[c_1615]) ).
tcf(c_1623,plain,
! [X0: $i] :
( p(X0)
| ~ m1
| ~ p(cx) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1616,c_1607,c_1607]) ).
tcf(c_1701,plain,
! [X0: $i] :
( m3
| q(cw)
| ~ q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_85,c_1421]) ).
tcf(c_1705,plain,
! [X0: $i] :
( m3
| q(X0)
| ~ q(cw) ),
inference(backward_subsumption_resolution,[status(thm)],[c_84,c_1438]) ).
tcf(c_1714,plain,
! [X0: $i] :
( p(cx)
| ~ m3
| ~ p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_1574]) ).
tcf(c_1719,plain,
! [X0: $i] :
( p(X0)
| ~ m3
| ~ p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_79,c_1623]) ).
tcf(c_2576,plain,
! [X0: $i] :
( ~ iPr_def_10
| p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1719]) ).
tcf(c_2577,plain,
( iPr_def_10
| ~ m3
| ~ p(cx) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1719]) ).
tcf(c_2578,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1714]) ).
tcf(c_2579,plain,
( iPr_def_11
| p(cx)
| ~ m3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1714]) ).
tcf(c_2580,plain,
! [X0: $i] :
( ~ iPr_def_12
| q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1705]) ).
tcf(c_2581,plain,
( iPr_def_12
| m3
| ~ q(cw) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1705]) ).
tcf(c_2582,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_1701]) ).
tcf(c_2583,plain,
( iPr_def_13
| m3
| q(cw) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1701]) ).
tcf(c_2584,plain,
( iPr_def_10
| ~ m1
| ~ p(cx) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1623]) ).
tcf(c_2585,plain,
( iPr_def_11
| p(cx)
| ~ m1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1574]) ).
tcf(c_2586,plain,
( iPr_def_12
| ~ m2
| ~ q(cw) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1438]) ).
tcf(c_2587,plain,
( iPr_def_13
| q(cw)
| ~ m2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1421]) ).
tcf(c_2606,plain,
( iPr_def_10
| ~ m3
| ~ p(cx) ),
inference(demodulation,[status(thm)],[c_2577]) ).
tcf(c_2608,plain,
( iPr_def_11
| p(cx)
| ~ m3 ),
inference(demodulation,[status(thm)],[c_2579]) ).
tcf(c_2610,plain,
( iPr_def_12
| m3
| ~ q(cw) ),
inference(demodulation,[status(thm)],[c_2581]) ).
tcf(c_2612,plain,
( iPr_def_13
| m3
| q(cw) ),
inference(demodulation,[status(thm)],[c_2583]) ).
tcf(c_2614,plain,
( iPr_def_10
| ~ m1
| ~ p(cx) ),
inference(demodulation,[status(thm)],[c_2584]) ).
tcf(c_2616,plain,
( iPr_def_11
| p(cx)
| ~ m1 ),
inference(demodulation,[status(thm)],[c_2585]) ).
tcf(c_2618,plain,
( iPr_def_12
| ~ m2
| ~ q(cw) ),
inference(demodulation,[status(thm)],[c_2586]) ).
tcf(c_2620,plain,
( iPr_def_13
| q(cw)
| ~ m2 ),
inference(demodulation,[status(thm)],[c_2587]) ).
tcf(c_2627,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ p(X0) ),
inference(demodulation,[status(thm)],[c_2578]) ).
tcf(c_2628,plain,
! [X0: $i] :
( p(X0)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_2576]) ).
tcf(c_2630,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ q(X0) ),
inference(demodulation,[status(thm)],[c_2582]) ).
tcf(c_2631,plain,
! [X0: $i] :
( q(X0)
| ~ iPr_def_12 ),
inference(demodulation,[status(thm)],[c_2580]) ).
tcf(c_2663,plain,
( ~ iPr_def_13
| ~ q(cu) ),
inference(instantiation,[status(thm)],[c_2630]) ).
tcf(c_2667,plain,
( q(cuu)
| ~ iPr_def_12 ),
inference(instantiation,[status(thm)],[c_2631]) ).
tcf(c_2680,plain,
( p(cvv)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_2628]) ).
tcf(c_2685,plain,
( ~ iPr_def_11
| ~ p(cv) ),
inference(instantiation,[status(thm)],[c_2627]) ).
tcf(c_2693,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2685,c_2680,c_2667,c_2663,c_2618,c_2614,c_2606,c_2620,c_2616,c_2610,c_2608,c_2612,c_1538,c_89,c_90,c_91,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 23:58:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.91/1.28 % SZS status Started for theBenchmark.p
% 1.91/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.28
% 1.91/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.91/1.28
% 1.91/1.28 % ------ iProver source info
% 1.91/1.28
% 1.91/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.91/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.91/1.28 % git: non_committed_changes: false
% 1.91/1.28
% 1.91/1.28 % ------ Parsing...% successful
% 1.91/1.28
% 1.91/1.28
% 1.91/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.91/1.28
% 1.91/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.91/1.28
% 1.91/1.28 % ------ Preprocessing... gs_s sp: 20 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.91/1.28 % ------ Proving...
% 1.91/1.28 % ------ Problem Properties
% 1.91/1.28
% 1.91/1.28 %
% 1.91/1.28 % clauses 34
% 1.91/1.28 % conjectures 22
% 1.91/1.28 % EPR 26
% 1.91/1.28 % Horn 15
% 1.91/1.28 % unary 0
% 1.91/1.28 % binary 8
% 1.91/1.28 % lits 94
% 1.91/1.28 % lits eq 0
% 1.91/1.28 % fd_pure 0
% 1.91/1.28 % fd_pseudo 0
% 1.91/1.28 % fd_cond 0
% 1.91/1.28 % fd_pseudo_cond 0
% 1.91/1.28 % AC symbols 0
% 1.91/1.28
% 1.91/1.28 % ------ Schedule dynamic 5 is on
% 1.91/1.28
% 1.91/1.28 % ------ no equalities: superposition off
% 1.91/1.28
% 1.91/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.91/1.28
% 1.91/1.28
% 1.91/1.28 % ------
% 1.91/1.28 % Current options:
% 1.91/1.28 % ------
% 1.91/1.28
% 1.91/1.28
% 1.91/1.28 %
% 1.91/1.28
% 1.91/1.28 % ------ Proving...
% 1.91/1.28 %
% 1.91/1.28
% 1.91/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.28
% 1.91/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.91/1.28
% 1.91/1.28
%------------------------------------------------------------------------------