%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN143-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 03:39:17 PM UTC 2026
% Result : Unsatisfiable 11.03s 2.68s
% Output : CNFRefutation 11.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 32
% Syntax : Number of formulae : 162 ( 162 unt; 0 def)
% Number of atoms : 162 ( 161 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 222 ( 0 sgn 222 !; 0 ?; 119 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f9,axiom,
s0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f10,plain,
true = s0(b),
inference(reorient_equations,[],[f9]) ).
fof(f13,axiom,
n0(d,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f14,plain,
true = n0(d,b),
inference(reorient_equations,[],[f13]) ).
fof(f27,axiom,
! [X0] : p0(b,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f28,plain,
! [X0] : true = p0(b,X0),
inference(reorient_equations,[],[f27]) ).
fof(f33,axiom,
! [X0] : q0(X0,d) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f34,plain,
! [X0] : true = q0(X0,d),
inference(reorient_equations,[],[f33]) ).
fof(f37,axiom,
! [X0,X1] : m0(X0,d,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f38,plain,
! [X0,X1] : true = m0(X0,d,X1),
inference(reorient_equations,[],[f37]) ).
fof(f39,axiom,
l0(a) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f40,plain,
true = l0(a),
inference(reorient_equations,[],[f39]) ).
fof(f55,axiom,
k0(e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f56,plain,
true = k0(e),
inference(reorient_equations,[],[f55]) ).
fof(f61,axiom,
m0(b,b,e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f62,plain,
true = m0(b,b,e),
inference(reorient_equations,[],[f61]) ).
fof(f63,axiom,
k0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f64,plain,
true = k0(b),
inference(reorient_equations,[],[f63]) ).
fof(f67,axiom,
n0(c,d) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f68,plain,
true = n0(c,d),
inference(reorient_equations,[],[f67]) ).
fof(f73,axiom,
n0(b,a) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f74,plain,
true = n0(b,a),
inference(reorient_equations,[],[f73]) ).
fof(f79,axiom,
! [X0,X1] : ifeq(n0(X0,X1),true,l1(X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f80,plain,
! [X0,X1] : true = ifeq(n0(X0,X1),true,l1(X1,X1),true),
inference(reorient_equations,[],[f79]) ).
fof(f173,axiom,
! [X0,X1] : ifeq(l0(X0),true,ifeq(p0(b,X1),true,ifeq(s0(b),true,n1(X0,X1,X0),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_050) ).
fof(f174,plain,
! [X0,X1] : true = ifeq(l0(X0),true,ifeq(p0(b,X1),true,ifeq(s0(b),true,n1(X0,X1,X0),true),true),true),
inference(reorient_equations,[],[f173]) ).
fof(f181,axiom,
! [X2,X0,X1] : ifeq(n1(X0,X1,X0),true,ifeq(l0(X2),true,ifeq(l1(X2,X0),true,n1(X0,X1,X1),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_054) ).
fof(f182,plain,
! [X2,X0,X1] : true = ifeq(n1(X0,X1,X0),true,ifeq(l0(X2),true,ifeq(l1(X2,X0),true,n1(X0,X1,X1),true),true),true),
inference(reorient_equations,[],[f181]) ).
fof(f199,axiom,
! [X0,X1] : ifeq(k0(X0),true,ifeq(n0(d,X1),true,p1(X1,X1,X0),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_063) ).
fof(f200,plain,
! [X0,X1] : true = ifeq(k0(X0),true,ifeq(n0(d,X1),true,p1(X1,X1,X0),true),true),
inference(reorient_equations,[],[f199]) ).
fof(f235,axiom,
! [X2,X3,X0,X1] : ifeq(p1(X0,X1,X2),true,ifeq(m0(X0,X1,X2),true,p1(X1,X3,X0),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_082) ).
fof(f236,plain,
! [X2,X3,X0,X1] : true = ifeq(p1(X0,X1,X2),true,ifeq(m0(X0,X1,X2),true,p1(X1,X3,X0),true),true),
inference(reorient_equations,[],[f235]) ).
fof(f241,axiom,
! [X0,X1] : ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f242,plain,
! [X0,X1] : true = ifeq(p0(X0,X1),true,p1(X1,X1,X1),true),
inference(reorient_equations,[],[f241]) ).
fof(f321,axiom,
! [X0] : ifeq(p0(X0,X0),true,s1(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f322,plain,
! [X0] : true = ifeq(p0(X0,X0),true,s1(X0),true),
inference(reorient_equations,[],[f321]) ).
fof(f323,axiom,
! [X2,X0,X1] : ifeq(s1(X0),true,ifeq(q0(X1,X2),true,s1(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f324,plain,
! [X2,X0,X1] : true = ifeq(s1(X0),true,ifeq(q0(X1,X2),true,s1(X1),true),true),
inference(reorient_equations,[],[f323]) ).
fof(f335,axiom,
! [X2,X3,X0,X1] : ifeq(s1(X0),true,ifeq(p0(X1,X1),true,ifeq(m0(X2,X0,X3),true,l2(X3,X3),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f336,plain,
! [X2,X3,X0,X1] : true = ifeq(s1(X0),true,ifeq(p0(X1,X1),true,ifeq(m0(X2,X0,X3),true,l2(X3,X3),true),true),true),
inference(reorient_equations,[],[f335]) ).
fof(f343,axiom,
! [X2,X0,X1] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f344,plain,
! [X2,X0,X1] : true = ifeq(p1(X0,X1,X2),true,n2(X2),true),
inference(reorient_equations,[],[f343]) ).
fof(f423,axiom,
! [X0,X1] : ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_177) ).
fof(f424,plain,
! [X0,X1] : true = ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true),
inference(reorient_equations,[],[f423]) ).
fof(f431,axiom,
! [X0] : ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).
fof(f432,plain,
! [X0] : true = ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true),
inference(reorient_equations,[],[f431]) ).
fof(f433,axiom,
! [X2,X0,X1] : ifeq(q2(X0,X1,X2),true,ifeq(p1(X2,X2,X1),true,ifeq(n1(X0,X2,X1),true,q2(X2,X0,X2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_182) ).
fof(f434,plain,
! [X2,X0,X1] : true = ifeq(q2(X0,X1,X2),true,ifeq(p1(X2,X2,X1),true,ifeq(n1(X0,X2,X1),true,q2(X2,X0,X2),true),true),true),
inference(reorient_equations,[],[f433]) ).
fof(f447,axiom,
! [X0] : ifeq(q2(b,X0,b),true,ifeq(s1(b),true,s2(X0),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_189) ).
fof(f448,plain,
! [X0] : true = ifeq(q2(b,X0,b),true,ifeq(s1(b),true,s2(X0),true),true),
inference(reorient_equations,[],[f447]) ).
fof(f553,axiom,
! [X0] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).
fof(f554,plain,
! [X0] : true = ifeq(n2(X0),true,p3(X0,X0,X0),true),
inference(reorient_equations,[],[f553]) ).
fof(f611,axiom,
! [X2,X3,X0,X1] : ifeq(s2(X0),true,ifeq(q2(X1,X0,X1),true,ifeq(m0(X1,X2,X3),true,s3(X0,X3),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_273) ).
fof(f612,plain,
! [X2,X3,X0,X1] : true = ifeq(s2(X0),true,ifeq(q2(X1,X0,X1),true,ifeq(m0(X1,X2,X3),true,s3(X0,X3),true),true),true),
inference(reorient_equations,[],[f611]) ).
fof(f621,axiom,
! [X2,X0,X1] : ifeq(s3(a,X0),true,ifeq(l2(X1,X2),true,m4(X0,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_279) ).
fof(f622,plain,
! [X2,X0,X1] : true = ifeq(s3(a,X0),true,ifeq(l2(X1,X2),true,m4(X0,X2),true),true),
inference(reorient_equations,[],[f621]) ).
fof(f659,axiom,
! [X2,X3,X0,X1] : ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).
fof(f660,plain,
! [X2,X3,X0,X1] : true = ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true),
inference(reorient_equations,[],[f659]) ).
fof(f671,axiom,
! [X0] : ifeq(s4(X0),true,ifeq(m4(e,e),true,m5(X0,X0),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_305) ).
fof(f672,plain,
! [X0] : true = ifeq(s4(X0),true,ifeq(m4(e,e),true,m5(X0,X0),true),true),
inference(reorient_equations,[],[f671]) ).
fof(f723,negated_conjecture,
m5(d,d) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
true != m5(d,d),
inference(reorient_equations,[],[f723]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_417,plain,
s0(b) = true,
inference(cnf_transformation,[],[f10]) ).
tcf(c_419,plain,
n0(d,b) = true,
inference(cnf_transformation,[],[f14]) ).
tcf(c_426,plain,
! [X0: $i] : p0(b,X0) = true,
inference(cnf_transformation,[],[f28]) ).
tcf(c_429,plain,
! [X0: $i] : q0(X0,d) = true,
inference(cnf_transformation,[],[f34]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1) = true,
inference(cnf_transformation,[],[f38]) ).
tcf(c_432,plain,
l0(a) = true,
inference(cnf_transformation,[],[f40]) ).
tcf(c_440,plain,
k0(e) = true,
inference(cnf_transformation,[],[f56]) ).
tcf(c_443,plain,
m0(b,b,e) = true,
inference(cnf_transformation,[],[f62]) ).
tcf(c_444,plain,
k0(b) = true,
inference(cnf_transformation,[],[f64]) ).
tcf(c_446,plain,
n0(c,d) = true,
inference(cnf_transformation,[],[f68]) ).
tcf(c_449,plain,
n0(b,a) = true,
inference(cnf_transformation,[],[f74]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] : ifeq(n0(X0,X1),true,l1(X1,X1),true) = true,
inference(cnf_transformation,[],[f80]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i] : ifeq(l0(X0),true,ifeq(p0(b,X1),true,ifeq(s0(b),true,n1(X0,X1,X0),true),true),true) = true,
inference(cnf_transformation,[],[f174]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(n1(X0,X1,X0),true,ifeq(l0(X2),true,ifeq(l1(X2,X0),true,n1(X0,X1,X1),true),true),true) = true,
inference(cnf_transformation,[],[f182]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i] : ifeq(k0(X0),true,ifeq(n0(d,X1),true,p1(X1,X1,X0),true),true) = true,
inference(cnf_transformation,[],[f200]) ).
tcf(c_530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p1(X0,X1,X2),true,ifeq(m0(X0,X1,X2),true,p1(X1,X3,X0),true),true) = true,
inference(cnf_transformation,[],[f236]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i] : ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(cnf_transformation,[],[f242]) ).
tcf(c_573,plain,
! [X0: $i] : ifeq(p0(X0,X0),true,s1(X0),true) = true,
inference(cnf_transformation,[],[f322]) ).
tcf(c_574,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(s1(X0),true,ifeq(q0(X1,X2),true,s1(X1),true),true) = true,
inference(cnf_transformation,[],[f324]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(s1(X0),true,ifeq(p0(X1,X1),true,ifeq(m0(X2,X0,X3),true,l2(X3,X3),true),true),true) = true,
inference(cnf_transformation,[],[f336]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
inference(cnf_transformation,[],[f344]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i] : ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true) = true,
inference(cnf_transformation,[],[f424]) ).
tcf(c_628,plain,
! [X0: $i] : ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
inference(cnf_transformation,[],[f432]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(q2(X0,X1,X2),true,ifeq(p1(X2,X2,X1),true,ifeq(n1(X0,X2,X1),true,q2(X2,X0,X2),true),true),true) = true,
inference(cnf_transformation,[],[f434]) ).
tcf(c_636,plain,
! [X0: $i] : ifeq(q2(b,X0,b),true,ifeq(s1(b),true,s2(X0),true),true) = true,
inference(cnf_transformation,[],[f448]) ).
tcf(c_689,plain,
! [X0: $i] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
inference(cnf_transformation,[],[f554]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(s2(X0),true,ifeq(q2(X1,X0,X1),true,ifeq(m0(X1,X2,X3),true,s3(X0,X3),true),true),true) = true,
inference(cnf_transformation,[],[f612]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(s3(a,X0),true,ifeq(l2(X1,X2),true,m4(X0,X2),true),true) = true,
inference(cnf_transformation,[],[f622]) ).
tcf(c_742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true) = true,
inference(cnf_transformation,[],[f660]) ).
tcf(c_748,plain,
! [X0: $i] : ifeq(s4(X0),true,ifeq(m4(e,e),true,m5(X0,X0),true),true) = true,
inference(cnf_transformation,[],[f672]) ).
tcf(c_774,negated_conjecture,
m5(d,d) != true,
inference(cnf_transformation,[],[f724]) ).
tcf(c_1096,plain,
ifeq(true,true,s1(b),true) = true,
inference(superposition,[status(thm)],[c_426,c_573]) ).
tcf(c_1103,plain,
ifeq(true,true,l1(d,d),true) = true,
inference(superposition,[status(thm)],[c_446,c_452]) ).
tcf(c_1104,plain,
ifeq(true,true,l1(a,a),true) = true,
inference(superposition,[status(thm)],[c_449,c_452]) ).
tcf(c_1108,plain,
s1(b) = true,
inference(demodulation,[status(thm)],[c_1096,c_412]) ).
tcf(c_1114,plain,
l1(a,a) = true,
inference(demodulation,[status(thm)],[c_1104,c_412]) ).
tcf(c_1115,plain,
l1(d,d) = true,
inference(demodulation,[status(thm)],[c_1103,c_412]) ).
tcf(c_1278,plain,
! [X0: $i] : ifeq(true,true,p1(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[c_426,c_533]) ).
tcf(c_1537,plain,
! [X0: $i,X1: $i] : ifeq(s1(X0),true,ifeq(true,true,s1(X1),true),true) = true,
inference(superposition,[status(thm)],[c_429,c_574]) ).
tcf(c_1627,plain,
! [X0: $i] : p1(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_1278,c_412]) ).
tcf(c_1634,plain,
! [X0: $i,X1: $i] : ifeq(s1(X0),true,s1(X1),true) = true,
inference(demodulation,[status(thm)],[c_1537,c_412]) ).
tcf(c_1715,plain,
! [X0: $i] : ifeq(true,true,q2(X0,X0,X0),true) = true,
inference(demodulation,[status(thm)],[c_628,c_1627]) ).
tcf(c_1720,plain,
! [X0: $i] : q2(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_1715,c_412]) ).
tcf(c_2177,plain,
! [X0: $i] : ifeq(true,true,n2(X0),true) = true,
inference(superposition,[status(thm)],[c_1627,c_584]) ).
tcf(c_2191,plain,
! [X0: $i] : n2(X0) = true,
inference(demodulation,[status(thm)],[c_2177,c_412]) ).
tcf(c_2202,plain,
! [X0: $i] : ifeq(true,true,p3(X0,X0,X0),true) = true,
inference(demodulation,[status(thm)],[c_689,c_2191]) ).
tcf(c_2205,plain,
! [X0: $i] : p3(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_2202,c_412]) ).
tcf(c_2383,plain,
! [X0: $i] : ifeq(true,true,s1(X0),true) = true,
inference(superposition,[status(thm)],[c_1108,c_1634]) ).
tcf(c_2408,plain,
! [X0: $i] : s1(X0) = true,
inference(demodulation,[status(thm)],[c_2383,c_412]) ).
tcf(c_2689,plain,
! [X0: $i] : ifeq(q2(b,X0,b),true,ifeq(true,true,s2(X0),true),true) = true,
inference(superposition,[status(thm)],[c_2408,c_636]) ).
tcf(c_2733,plain,
! [X0: $i] : ifeq(true,true,ifeq(n0(d,X0),true,p1(X0,X0,e),true),true) = true,
inference(superposition,[status(thm)],[c_440,c_512]) ).
tcf(c_2766,plain,
! [X0: $i,X1: $i] : ifeq(true,true,ifeq(l1(X0,X1),true,s4(X0),true),true) = true,
inference(superposition,[status(thm)],[c_2205,c_742]) ).
tcf(c_2890,plain,
! [X0: $i,X1: $i] : ifeq(l1(X0,X1),true,s4(X0),true) = true,
inference(demodulation,[status(thm)],[c_2766,c_412]) ).
tcf(c_2950,plain,
! [X0: $i] : ifeq(q2(b,X0,b),true,s2(X0),true) = true,
inference(demodulation,[status(thm)],[c_2689,c_412]) ).
tcf(c_3006,plain,
! [X0: $i] : ifeq(n0(d,X0),true,p1(X0,X0,e),true) = true,
inference(demodulation,[status(thm)],[c_2733,c_412]) ).
tcf(c_3156,plain,
ifeq(true,true,s4(d),true) = true,
inference(superposition,[status(thm)],[c_1115,c_2890]) ).
tcf(c_3174,plain,
s4(d) = true,
inference(demodulation,[status(thm)],[c_3156,c_412]) ).
tcf(c_3218,plain,
ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true) = true,
inference(superposition,[status(thm)],[c_3174,c_748]) ).
tcf(c_3403,plain,
ifeq(true,true,p1(b,b,e),true) = true,
inference(superposition,[status(thm)],[c_419,c_3006]) ).
tcf(c_3484,plain,
p1(b,b,e) = true,
inference(demodulation,[status(thm)],[c_3403,c_412]) ).
tcf(c_3503,plain,
ifeq(m4(e,e),true,m5(d,d),true) = true,
inference(demodulation,[status(thm)],[c_3218,c_412]) ).
tcf(c_4085,plain,
! [X0: $i] : ifeq(p1(X0,X0,X0),true,ifeq(true,true,q2(X0,b,b),true),true) = true,
inference(superposition,[status(thm)],[c_444,c_624]) ).
tcf(c_4298,plain,
! [X0: $i] : q2(X0,b,b) = true,
inference(demodulation,[status(thm)],[c_4085,c_412,c_1627]) ).
tcf(c_5977,plain,
! [X0: $i] : ifeq(p1(b,b,e),true,ifeq(true,true,p1(b,X0,b),true),true) = true,
inference(superposition,[status(thm)],[c_443,c_530]) ).
tcf(c_6066,plain,
! [X0: $i] : ifeq(p1(b,b,e),true,p1(b,X0,b),true) = true,
inference(demodulation,[status(thm)],[c_5977,c_412]) ).
tcf(c_6067,plain,
! [X0: $i] : ifeq(true,true,p1(b,X0,b),true) = true,
inference(light_normalisation,[status(thm)],[c_6066,c_3484]) ).
tcf(c_6068,plain,
! [X0: $i] : p1(b,X0,b) = true,
inference(demodulation,[status(thm)],[c_6067,c_412]) ).
tcf(c_6340,plain,
! [X0: $i] : ifeq(true,true,ifeq(p0(b,X0),true,ifeq(s0(b),true,n1(a,X0,a),true),true),true) = true,
inference(superposition,[status(thm)],[c_432,c_499]) ).
tcf(c_6393,plain,
! [X0: $i] : ifeq(s0(b),true,n1(a,X0,a),true) = true,
inference(demodulation,[status(thm)],[c_6340,c_412,c_426]) ).
tcf(c_6394,plain,
! [X0: $i] : ifeq(true,true,n1(a,X0,a),true) = true,
inference(light_normalisation,[status(thm)],[c_6393,c_417]) ).
tcf(c_6395,plain,
! [X0: $i] : n1(a,X0,a) = true,
inference(demodulation,[status(thm)],[c_6394,c_412]) ).
tcf(c_7236,plain,
! [X0: $i] : ifeq(n1(a,X0,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X0,X0),true),true),true) = true,
inference(superposition,[status(thm)],[c_1114,c_503]) ).
tcf(c_7446,plain,
! [X0: $i] : ifeq(l0(a),true,n1(a,X0,X0),true) = true,
inference(demodulation,[status(thm)],[c_7236,c_412,c_6395]) ).
tcf(c_7447,plain,
! [X0: $i] : ifeq(true,true,n1(a,X0,X0),true) = true,
inference(light_normalisation,[status(thm)],[c_7446,c_432]) ).
tcf(c_7448,plain,
! [X0: $i] : n1(a,X0,X0) = true,
inference(demodulation,[status(thm)],[c_7447,c_412]) ).
tcf(c_11085,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(s1(X0),true,ifeq(true,true,ifeq(m0(X1,X0,X2),true,l2(X2,X2),true),true),true) = true,
inference(superposition,[status(thm)],[c_426,c_580]) ).
tcf(c_11263,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(m0(X0,X1,X2),true,l2(X2,X2),true) = true,
inference(demodulation,[status(thm)],[c_11085,c_412,c_2408]) ).
tcf(c_12119,plain,
! [X0: $i] : ifeq(true,true,l2(X0,X0),true) = true,
inference(superposition,[status(thm)],[c_431,c_11263]) ).
tcf(c_12302,plain,
! [X0: $i] : l2(X0,X0) = true,
inference(demodulation,[status(thm)],[c_12119,c_412]) ).
tcf(c_12490,plain,
! [X0: $i,X1: $i] : ifeq(s3(a,X0),true,ifeq(true,true,m4(X0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_12302,c_723]) ).
tcf(c_12577,plain,
! [X0: $i,X1: $i] : ifeq(s3(a,X0),true,m4(X0,X1),true) = true,
inference(demodulation,[status(thm)],[c_12490,c_412]) ).
tcf(c_18775,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(s2(X0),true,ifeq(true,true,ifeq(m0(X0,X1,X2),true,s3(X0,X2),true),true),true) = true,
inference(superposition,[status(thm)],[c_1720,c_718]) ).
tcf(c_18863,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(s2(X0),true,ifeq(m0(X0,X1,X2),true,s3(X0,X2),true),true) = true,
inference(demodulation,[status(thm)],[c_18775,c_412]) ).
tcf(c_19174,plain,
! [X0: $i,X1: $i] : ifeq(s2(X0),true,ifeq(true,true,s3(X0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_431,c_18863]) ).
tcf(c_19337,plain,
! [X0: $i,X1: $i] : ifeq(s2(X0),true,s3(X0,X1),true) = true,
inference(demodulation,[status(thm)],[c_19174,c_412]) ).
tcf(c_19974,plain,
! [X0: $i] : ifeq(q2(X0,b,b),true,ifeq(true,true,ifeq(n1(X0,b,b),true,q2(b,X0,b),true),true),true) = true,
inference(superposition,[status(thm)],[c_6068,c_629]) ).
tcf(c_20030,plain,
! [X0: $i] : ifeq(n1(X0,b,b),true,q2(b,X0,b),true) = true,
inference(demodulation,[status(thm)],[c_19974,c_412,c_4298]) ).
tcf(c_20752,plain,
ifeq(true,true,q2(b,a,b),true) = true,
inference(superposition,[status(thm)],[c_7448,c_20030]) ).
tcf(c_20927,plain,
q2(b,a,b) = true,
inference(demodulation,[status(thm)],[c_20752,c_412]) ).
tcf(c_20978,plain,
ifeq(true,true,s2(a),true) = true,
inference(superposition,[status(thm)],[c_20927,c_2950]) ).
tcf(c_21226,plain,
s2(a) = true,
inference(demodulation,[status(thm)],[c_20978,c_412]) ).
tcf(c_21266,plain,
! [X0: $i] : ifeq(true,true,s3(a,X0),true) = true,
inference(superposition,[status(thm)],[c_21226,c_19337]) ).
tcf(c_21326,plain,
! [X0: $i] : s3(a,X0) = true,
inference(demodulation,[status(thm)],[c_21266,c_412]) ).
tcf(c_21357,plain,
! [X0: $i,X1: $i] : ifeq(true,true,m4(X0,X1),true) = true,
inference(demodulation,[status(thm)],[c_12577,c_21326]) ).
tcf(c_21360,plain,
! [X0: $i,X1: $i] : m4(X0,X1) = true,
inference(demodulation,[status(thm)],[c_21357,c_412]) ).
tcf(c_21363,plain,
ifeq(true,true,m5(d,d),true) = true,
inference(demodulation,[status(thm)],[c_3503,c_21360]) ).
tcf(c_21366,plain,
m5(d,d) = true,
inference(demodulation,[status(thm)],[c_21363,c_412]) ).
tcf(c_21367,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_21366,c_774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN143-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 % Computer : n020.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Fri Sep 25 00:18:48 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.48 Running UEQ theorem proving
% 0.15/0.48 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50
% 0.22/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.50
% 0.22/0.50 % Detected problem language: tptp
% 0.22/0.51 % Proving...
% 11.03/2.68 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 11.03/2.68 % SZS status Started for theBenchmark.p
% 11.03/2.68 % SZS status Unsatisfiable for theBenchmark.p
% 11.03/2.68
% 11.03/2.68 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.03/2.68
% 11.03/2.68 % ------ iProver source info
% 11.03/2.68
% 11.03/2.68 % git: date: 2026-07-19 20:42:38 +0200
% 11.03/2.68 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.03/2.68 % git: non_committed_changes: false
% 11.03/2.68
% 11.03/2.68 % ------ Parsing...% successful
% 11.03/2.68
% 11.03/2.68
% 11.03/2.68 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 11.03/2.68 % ------ Proving...
% 11.03/2.68 % ------ Problem Properties
% 11.03/2.68
% 11.03/2.68 %
% 11.03/2.68 % clauses 363
% 11.03/2.68 % conjectures 1
% 11.03/2.68 % EPR 0
% 11.03/2.68 % Horn 363
% 11.03/2.68 % unary 363
% 11.03/2.68 % binary 0
% 11.03/2.68 % lits 363
% 11.03/2.68 % lits eq 363
% 11.03/2.68 % fd_pure 0
% 11.03/2.68 % fd_pseudo 0
% 11.03/2.68 % fd_cond 0
% 11.03/2.68 % fd_pseudo_cond 0
% 11.03/2.68 % AC symbols 0
% 11.03/2.68
% 11.03/2.68 % ------ Input Options Time Limit: Unbounded
% 11.03/2.68
% 11.03/2.68
% 11.03/2.68 % ------
% 11.03/2.68 % Current options:
% 11.03/2.68 % ------
% 11.03/2.68
% 11.03/2.68
% 11.03/2.68 %
% 11.03/2.68
% 11.03/2.68 % ------ Proving...
% 11.03/2.68 %
% 11.03/2.68
% 11.03/2.68 % SZS status Unsatisfiable for theBenchmark.p
% 11.03/2.68
% 11.03/2.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.03/2.69
% 11.03/2.69
%------------------------------------------------------------------------------