%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN116-10 : 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 03:39:13 PM UTC 2026
% Result : Unsatisfiable 4.02s 1.20s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 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 : 4 ( 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 : 14 ( 14 usr; 3 con; 0-4 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 27 :)
% 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(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(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(f187,axiom,
! [X0] : ifeq(r0(X0),true,n1(X0,X0,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_057) ).
fof(f188,plain,
! [X0] : true = ifeq(r0(X0),true,n1(X0,X0,X0),true),
inference(reorient_equations,[],[f187]) ).
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(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(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(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(f663,axiom,
ifeq(s4(e),true,ifeq(n1(b,b,b),true,k5(b),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_301) ).
fof(f664,plain,
true = ifeq(s4(e),true,ifeq(n1(b,b,b),true,k5(b),true),true),
inference(reorient_equations,[],[f663]) ).
fof(f723,negated_conjecture,
k5(b) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
true != k5(b),
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_442,plain,
n0(e,e) = true,
inference(cnf_transformation,[],[f60]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] : ifeq(n0(X0,X1),true,l1(X1,X1),true) = true,
inference(cnf_transformation,[],[f80]) ).
tcf(c_506,plain,
! [X0: $i] : ifeq(r0(X0),true,n1(X0,X0,X0),true) = true,
inference(cnf_transformation,[],[f188]) ).
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_584,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
inference(cnf_transformation,[],[f344]) ).
tcf(c_689,plain,
! [X0: $i] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
inference(cnf_transformation,[],[f554]) ).
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_744,plain,
ifeq(s4(e),true,ifeq(n1(b,b,b),true,k5(b),true),true) = true,
inference(cnf_transformation,[],[f664]) ).
tcf(c_774,negated_conjecture,
k5(b) != true,
inference(cnf_transformation,[],[f724]) ).
tcf(c_1101,plain,
ifeq(true,true,l1(e,e),true) = true,
inference(superposition,[status(thm)],[c_442,c_452]) ).
tcf(c_1115,plain,
l1(e,e) = true,
inference(demodulation,[status(thm)],[c_1101,c_412]) ).
tcf(c_1142,plain,
ifeq(true,true,n1(b,b,b),true) = true,
inference(superposition,[status(thm)],[c_421,c_506]) ).
tcf(c_1228,plain,
n1(b,b,b) = true,
inference(demodulation,[status(thm)],[c_1142,c_412]) ).
tcf(c_1277,plain,
! [X0: $i] : ifeq(true,true,p1(X0,X0,X0),true) = true,
inference(superposition,[status(thm)],[c_426,c_533]) ).
tcf(c_1626,plain,
! [X0: $i] : p1(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_1277,c_412]) ).
tcf(c_2176,plain,
! [X0: $i] : ifeq(true,true,n2(X0),true) = true,
inference(superposition,[status(thm)],[c_1626,c_584]) ).
tcf(c_2190,plain,
! [X0: $i] : n2(X0) = true,
inference(demodulation,[status(thm)],[c_2176,c_412]) ).
tcf(c_2201,plain,
! [X0: $i] : ifeq(true,true,p3(X0,X0,X0),true) = true,
inference(demodulation,[status(thm)],[c_689,c_2190]) ).
tcf(c_2204,plain,
! [X0: $i] : p3(X0,X0,X0) = true,
inference(demodulation,[status(thm)],[c_2201,c_412]) ).
tcf(c_2765,plain,
! [X0: $i,X1: $i] : ifeq(true,true,ifeq(l1(X0,X1),true,s4(X0),true),true) = true,
inference(superposition,[status(thm)],[c_2204,c_742]) ).
tcf(c_2889,plain,
! [X0: $i,X1: $i] : ifeq(l1(X0,X1),true,s4(X0),true) = true,
inference(demodulation,[status(thm)],[c_2765,c_412]) ).
tcf(c_3153,plain,
ifeq(true,true,s4(e),true) = true,
inference(superposition,[status(thm)],[c_1115,c_2889]) ).
tcf(c_3174,plain,
s4(e) = true,
inference(demodulation,[status(thm)],[c_3153,c_412]) ).
tcf(c_3179,plain,
ifeq(true,true,ifeq(n1(b,b,b),true,k5(b),true),true) = true,
inference(demodulation,[status(thm)],[c_744,c_3174]) ).
tcf(c_3180,plain,
ifeq(n1(b,b,b),true,k5(b),true) = true,
inference(demodulation,[status(thm)],[c_3179,c_412]) ).
tcf(c_3181,plain,
ifeq(true,true,k5(b),true) = true,
inference(light_normalisation,[status(thm)],[c_3180,c_1228]) ).
tcf(c_3182,plain,
k5(b) = true,
inference(demodulation,[status(thm)],[c_3181,c_412]) ).
tcf(c_3183,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3182,c_774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN116-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Fri Sep 25 00:13:02 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43 Running UEQ theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 4.02/1.20 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 4.02/1.20 % SZS status Started for theBenchmark.p
% 4.02/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.20
% 4.02/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.02/1.20
% 4.02/1.20 % ------ iProver source info
% 4.02/1.20
% 4.02/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 4.02/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.02/1.20 % git: non_committed_changes: false
% 4.02/1.20
% 4.02/1.20 % ------ Parsing...% successful
% 4.02/1.20
% 4.02/1.20
% 4.02/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.02/1.20 % ------ Proving...
% 4.02/1.20 % ------ Problem Properties
% 4.02/1.20
% 4.02/1.20 %
% 4.02/1.20 % clauses 363
% 4.02/1.20 % conjectures 1
% 4.02/1.20 % EPR 0
% 4.02/1.20 % Horn 363
% 4.02/1.20 % unary 363
% 4.02/1.20 % binary 0
% 4.02/1.20 % lits 363
% 4.02/1.20 % lits eq 363
% 4.02/1.20 % fd_pure 0
% 4.02/1.20 % fd_pseudo 0
% 4.02/1.20 % fd_cond 0
% 4.02/1.20 % fd_pseudo_cond 0
% 4.02/1.20 % AC symbols 0
% 4.02/1.20
% 4.02/1.20 % ------ Input Options Time Limit: Unbounded
% 4.02/1.20
% 4.02/1.20
% 4.02/1.20 % ------
% 4.02/1.20 % Current options:
% 4.02/1.20 % ------
% 4.02/1.20
% 4.02/1.20
% 4.02/1.20 %
% 4.02/1.20
% 4.02/1.20 % ------ Proving...
% 4.02/1.20 %
% 4.02/1.20
% 4.02/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.20
% 4.02/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.02/1.20
% 4.02/1.20
%------------------------------------------------------------------------------