%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN214-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 03:39:27 PM UTC 2026
% Result : Unsatisfiable 1.30s 6.76s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 94 ( 94 unt; 0 def)
% Number of atoms : 94 ( 93 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 22 ( 22 usr; 5 con; 0-4 aty)
% Number of variables : 140 ( 0 sgn 140 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f17,axiom,
r0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f18,plain,
true = r0(b),
inference(reorient_equations,[],[f17]) ).
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(f35,axiom,
p0(c,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f36,plain,
true = p0(c,b),
inference(reorient_equations,[],[f35]) ).
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(f53,axiom,
m0(e,b,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f54,plain,
true = m0(e,b,c),
inference(reorient_equations,[],[f53]) ).
fof(f59,axiom,
n0(e,e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f60,plain,
true = n0(e,e),
inference(reorient_equations,[],[f59]) ).
fof(f81,axiom,
! [X2,X3,X0,X1] : ifeq(p0(X0,X1),true,ifeq(r0(X2),true,ifeq(m0(X3,X1,X0),true,l1(X1,X3),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f82,plain,
! [X2,X3,X0,X1] : true = ifeq(p0(X0,X1),true,ifeq(r0(X2),true,ifeq(m0(X3,X1,X0),true,l1(X1,X3),true),true),true),
inference(reorient_equations,[],[f81]) ).
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(f313,axiom,
! [X2,X0,X1] : ifeq(m0(X0,X1,X2),true,q1(X2,X2,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_121) ).
fof(f314,plain,
! [X2,X0,X1] : true = ifeq(m0(X0,X1,X2),true,q1(X2,X2,X2),true),
inference(reorient_equations,[],[f313]) ).
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(f377,axiom,
! [X0] : ifeq(q1(X0,X0,X0),true,p2(X0,X0,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_154) ).
fof(f378,plain,
! [X0] : true = ifeq(q1(X0,X0,X0),true,p2(X0,X0,X0),true),
inference(reorient_equations,[],[f377]) ).
fof(f441,axiom,
! [X0,X1] : ifeq(l1(X0,X1),true,q2(X1,X1,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
fof(f442,plain,
! [X0,X1] : true = ifeq(l1(X0,X1),true,q2(X1,X1,X0),true),
inference(reorient_equations,[],[f441]) ).
fof(f545,axiom,
! [X2,X0,X1] : ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f546,plain,
! [X2,X0,X1] : true = ifeq(p2(X0,X1,X2),true,n3(X2),true),
inference(reorient_equations,[],[f545]) ).
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(f575,axiom,
! [X2,X0,X1] : ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
fof(f576,plain,
! [X2,X0,X1] : true = ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true),
inference(reorient_equations,[],[f575]) ).
fof(f617,axiom,
! [X2,X0,X1] : ifeq(p3(X0,X1,X2),true,l4(X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
fof(f618,plain,
! [X2,X0,X1] : true = ifeq(p3(X0,X1,X2),true,l4(X2),true),
inference(reorient_equations,[],[f617]) ).
fof(f657,axiom,
! [X2,X3,X0,X1] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).
fof(f658,plain,
! [X2,X3,X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true),
inference(reorient_equations,[],[f657]) ).
fof(f719,axiom,
! [X0,X1] : ifeq(r4(X0),true,ifeq(l4(X1),true,s5(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_329) ).
fof(f720,plain,
! [X0,X1] : true = ifeq(r4(X0),true,ifeq(l4(X1),true,s5(X1),true),true),
inference(reorient_equations,[],[f719]) ).
fof(f723,negated_conjecture,
s5(c) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
true != s5(c),
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_421,plain,
r0(b) = true,
inference(cnf_transformation,[],[f18]) ).
tcf(c_426,plain,
! [X0: $i] : p0(b,X0) = true,
inference(cnf_transformation,[],[f28]) ).
tcf(c_430,plain,
p0(c,b) = true,
inference(cnf_transformation,[],[f36]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1) = true,
inference(cnf_transformation,[],[f38]) ).
tcf(c_439,plain,
m0(e,b,c) = true,
inference(cnf_transformation,[],[f54]) ).
tcf(c_442,plain,
n0(e,e) = true,
inference(cnf_transformation,[],[f60]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(p0(X0,X1),true,ifeq(r0(X2),true,ifeq(m0(X3,X1,X0),true,l1(X1,X3),true),true),true) = true,
inference(cnf_transformation,[],[f82]) ).
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_569,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(m0(X0,X1,X2),true,q1(X2,X2,X2),true) = true,
inference(cnf_transformation,[],[f314]) ).
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_601,plain,
! [X0: $i] : ifeq(q1(X0,X0,X0),true,p2(X0,X0,X0),true) = true,
inference(cnf_transformation,[],[f378]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i] : ifeq(l1(X0,X1),true,q2(X1,X1,X0),true) = true,
inference(cnf_transformation,[],[f442]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
inference(cnf_transformation,[],[f546]) ).
tcf(c_689,plain,
! [X0: $i] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
inference(cnf_transformation,[],[f554]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
inference(cnf_transformation,[],[f576]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(p3(X0,X1,X2),true,l4(X2),true) = true,
inference(cnf_transformation,[],[f618]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
inference(cnf_transformation,[],[f658]) ).
tcf(c_772,plain,
! [X0: $i,X1: $i] : ifeq(r4(X0),true,ifeq(l4(X1),true,s5(X1),true),true) = true,
inference(cnf_transformation,[],[f720]) ).
tcf(c_774,negated_conjecture,
s5(c) != true,
inference(cnf_transformation,[],[f724]) ).
tcf(c_1176,plain,
! [X0: $i] : ifeq(p0(c,b),true,ifeq(r0(X0),true,ifeq(true,true,l1(b,e),true),true),true) = true,
inference(superposition,[status(thm)],[c_439,c_453]) ).
tcf(c_1235,plain,
! [X0: $i] : ifeq(p0(c,b),true,ifeq(r0(X0),true,l1(b,e),true),true) = true,
inference(demodulation,[status(thm)],[c_1176,c_412]) ).
tcf(c_1236,plain,
! [X0: $i] : ifeq(true,true,ifeq(r0(X0),true,l1(b,e),true),true) = true,
inference(light_normalisation,[status(thm)],[c_1235,c_430]) ).
tcf(c_1237,plain,
! [X0: $i] : ifeq(r0(X0),true,l1(b,e),true) = true,
inference(demodulation,[status(thm)],[c_1236,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_1348,plain,
ifeq(true,true,l1(b,e),true) = true,
inference(superposition,[status(thm)],[c_421,c_1237]) ).
tcf(c_1455,plain,
! [X0: $i] : ifeq(true,true,q1(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[c_431,c_569]) ).
tcf(c_1581,plain,
l1(b,e) = true,
inference(demodulation,[status(thm)],[c_1348,c_412]) ).
tcf(c_1614,plain,
! [X0: $i] : q1(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_1455,c_412]) ).
tcf(c_1627,plain,
! [X0: $i] : p1(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_1278,c_412]) ).
tcf(c_1695,plain,
! [X0: $i] : ifeq(true,true,p2(X0,X0,X0),true) = true,
inference(demodulation,[status(thm)],[c_601,c_1614]) ).
tcf(c_1702,plain,
! [X0: $i] : p2(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_1695,c_412]) ).
tcf(c_1822,plain,
ifeq(true,true,q2(e,e,b),true) = true,
inference(superposition,[status(thm)],[c_1581,c_633]) ).
tcf(c_1891,plain,
q2(e,e,b) = true,
inference(demodulation,[status(thm)],[c_1822,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_2182,plain,
! [X0: $i] : ifeq(true,true,n3(X0),true) = true,
inference(superposition,[status(thm)],[c_1702,c_685]) ).
tcf(c_2190,plain,
! [X0: $i] : n3(X0) = true,
inference(demodulation,[status(thm)],[c_2182,c_412]) ).
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_2277,plain,
! [X0: $i] : ifeq(true,true,l4(X0),true) = true,
inference(superposition,[status(thm)],[c_2205,c_721]) ).
tcf(c_2297,plain,
! [X0: $i] : l4(X0) = true,
inference(demodulation,[status(thm)],[c_2277,c_412]) ).
tcf(c_2309,plain,
! [X0: $i,X1: $i] : ifeq(r4(X0),true,ifeq(true,true,s5(X1),true),true) = true,
inference(demodulation,[status(thm)],[c_772,c_2297]) ).
tcf(c_2311,plain,
! [X0: $i,X1: $i] : ifeq(r4(X0),true,s5(X1),true) = true,
inference(demodulation,[status(thm)],[c_2309,c_412]) ).
tcf(c_4125,plain,
ifeq(true,true,ifeq(n0(e,e),true,q3(e,b),true),true) = true,
inference(superposition,[status(thm)],[c_1891,c_700]) ).
tcf(c_4257,plain,
ifeq(n0(e,e),true,q3(e,b),true) = true,
inference(demodulation,[status(thm)],[c_4125,c_412]) ).
tcf(c_4258,plain,
ifeq(true,true,q3(e,b),true) = true,
inference(light_normalisation,[status(thm)],[c_4257,c_442]) ).
tcf(c_4259,plain,
q3(e,b) = true,
inference(demodulation,[status(thm)],[c_4258,c_412]) ).
tcf(c_6766,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(true,true,r4(X2),true),true),true) = true,
inference(superposition,[status(thm)],[c_426,c_741]) ).
tcf(c_6845,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(q3(X0,X1),true,r4(X2),true) = true,
inference(demodulation,[status(thm)],[c_6766,c_412,c_2190]) ).
tcf(c_7190,plain,
! [X0: $i] : ifeq(true,true,r4(X0),true) = true,
inference(superposition,[status(thm)],[c_4259,c_6845]) ).
tcf(c_7380,plain,
! [X0: $i] : r4(X0) = true,
inference(demodulation,[status(thm)],[c_7190,c_412]) ).
tcf(c_7462,plain,
! [X0: $i] : ifeq(true,true,s5(X0),true) = true,
inference(demodulation,[status(thm)],[c_2311,c_7380]) ).
tcf(c_7465,plain,
! [X0: $i] : s5(X0) = true,
inference(demodulation,[status(thm)],[c_7462,c_412]) ).
tcf(c_7466,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_774,c_7465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN214-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/5.37 % Computer : n014.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Fri Sep 25 00:31:08 UTC 2026
% 0.08/5.38 % CPUTime :
% 0.08/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running UEQ theorem proving
% 0.14/5.41 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.30/6.76 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.30/6.76 % SZS status Started for theBenchmark.p
% 1.30/6.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/6.76
% 1.30/6.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.30/6.76
% 1.30/6.76 % ------ iProver source info
% 1.30/6.76
% 1.30/6.76 % git: date: 2026-07-19 20:42:38 +0200
% 1.30/6.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.30/6.76 % git: non_committed_changes: false
% 1.30/6.76
% 1.30/6.76 % ------ Parsing...% successful
% 1.30/6.76
% 1.30/6.76
% 1.30/6.76 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.30/6.76 % ------ Proving...
% 1.30/6.76 % ------ Problem Properties
% 1.30/6.76
% 1.30/6.76 %
% 1.30/6.76 % clauses 363
% 1.30/6.76 % conjectures 1
% 1.30/6.76 % EPR 0
% 1.30/6.76 % Horn 363
% 1.30/6.76 % unary 363
% 1.30/6.76 % binary 0
% 1.30/6.76 % lits 363
% 1.30/6.76 % lits eq 363
% 1.30/6.76 % fd_pure 0
% 1.30/6.76 % fd_pseudo 0
% 1.30/6.76 % fd_cond 0
% 1.30/6.76 % fd_pseudo_cond 0
% 1.30/6.76 % AC symbols 0
% 1.30/6.76
% 1.30/6.76 % ------ Input Options Time Limit: Unbounded
% 1.30/6.76
% 1.30/6.76
% 1.30/6.76 % ------
% 1.30/6.76 % Current options:
% 1.30/6.76 % ------
% 1.30/6.76
% 1.30/6.76
% 1.30/6.76 %
% 1.30/6.76
% 1.30/6.76 % ------ Proving...
% 1.30/6.76 %
% 1.30/6.76
% 1.30/6.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/6.76
% 1.30/6.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.30/6.77
% 1.30/6.77
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