%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWX200-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 03:32:49 PM UTC 2026
% Result : Unsatisfiable 2.15s 1.27s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 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 : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X0,X1] : aux2(X0,X1,X2,bfalse) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
fof(f5,plain,
! [X2,X0,X1] : bfalse = aux2(X0,X1,X2,bfalse),
inference(reorient_equations,[],[f4]) ).
fof(f8,axiom,
! [X0] : leqNat(s(X0),z) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
fof(f9,plain,
! [X0] : bfalse = leqNat(s(X0),z),
inference(reorient_equations,[],[f8]) ).
fof(f11,axiom,
! [X0] : merge(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
fof(f15,axiom,
ord(nil) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
fof(f16,plain,
btrue = ord(nil),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
! [X2,X0,X1] : ord(cons(X0,cons(X1,X2))) = aux2(X0,X1,X2,leqNat(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
fof(f20,axiom,
! [X0] : impl(btrue,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
fof(f23,axiom,
! [X0,X1] : prop_merge_ord_not3(X0,X1) = impl(eq2(ord(X0),btrue),impl(eq2(ord(X1),bfalse),eq2(ord(merge(X0,X1)),btrue))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
fof(f24,axiom,
eq2(bfalse,btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(f25,plain,
bfalse = eq2(bfalse,btrue),
inference(reorient_equations,[],[f24]) ).
fof(f35,axiom,
! [X0] : eq2(X0,X0) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_022) ).
fof(f36,plain,
! [X0] : btrue = eq2(X0,X0),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
! [X0,X1] : eq2(prop_merge_ord_not3(X0,X1),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f38,plain,
! [X0,X1] : btrue != eq2(prop_merge_ord_not3(X0,X1),bfalse),
inference(reorient_equations,[],[f37]) ).
fof(f39,plain,
! [X0,X1] : btrue != eq2(impl(eq2(ord(X0),btrue),impl(eq2(ord(X1),bfalse),eq2(ord(merge(X0,X1)),btrue))),bfalse),
inference(definition_unfolding,[],[f38,f23]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : aux2(X0,X1,X2,bfalse) = bfalse,
inference(cnf_transformation,[],[f5]) ).
tcf(c_78,plain,
! [X0: $i] : leqNat(s(X0),z) = bfalse,
inference(cnf_transformation,[],[f9]) ).
tcf(c_80,plain,
! [X0: $i] : merge(nil,X0) = X0,
inference(cnf_transformation,[],[f11]) ).
tcf(c_83,plain,
ord(nil) = btrue,
inference(cnf_transformation,[],[f16]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : aux2(X0,X1,X2,leqNat(X0,X1)) = ord(cons(X0,cons(X1,X2))),
inference(cnf_transformation,[],[f19]) ).
tcf(c_86,plain,
! [X0: $i] : impl(btrue,X0) = X0,
inference(cnf_transformation,[],[f20]) ).
tcf(c_88,plain,
eq2(bfalse,btrue) = bfalse,
inference(cnf_transformation,[],[f25]) ).
tcf(c_94,plain,
! [X0: $i] : eq2(X0,X0) = btrue,
inference(cnf_transformation,[],[f36]) ).
tcf(c_95,negated_conjecture,
! [X0: $i,X1: $i] : eq2(impl(eq2(ord(X0),btrue),impl(eq2(ord(X1),bfalse),eq2(ord(merge(X0,X1)),btrue))),bfalse) != btrue,
inference(cnf_transformation,[],[f39]) ).
tcf(c_294,plain,
! [X0: $i] : eq2(impl(eq2(btrue,btrue),impl(eq2(ord(X0),bfalse),eq2(ord(merge(nil,X0)),btrue))),bfalse) != btrue,
inference(superposition,[status(thm)],[c_83,c_95]) ).
tcf(c_297,plain,
! [X0: $i] : eq2(impl(eq2(btrue,btrue),impl(eq2(ord(X0),bfalse),eq2(ord(X0),btrue))),bfalse) != btrue,
inference(light_normalisation,[status(thm)],[c_294,c_80]) ).
tcf(c_302,plain,
! [X0: $i] : eq2(impl(eq2(ord(X0),bfalse),eq2(ord(X0),btrue)),bfalse) != btrue,
inference(demodulation,[status(thm)],[c_297,c_86,c_94]) ).
tcf(c_356,plain,
! [X0: $i,X1: $i] : ord(cons(s(X0),cons(z,X1))) = aux2(s(X0),z,X1,bfalse),
inference(superposition,[status(thm)],[c_78,c_85]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] : ord(cons(s(X0),cons(z,X1))) = bfalse,
inference(demodulation,[status(thm)],[c_356,c_76]) ).
tcf(c_378,plain,
eq2(impl(eq2(bfalse,bfalse),eq2(bfalse,btrue)),bfalse) != btrue,
inference(superposition,[status(thm)],[c_374,c_302]) ).
tcf(c_383,plain,
$false,
inference(ground_joinability,[status(thm)],[c_378,c_86,c_88,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX200-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 23:31:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running UEQ theorem proving
% 0.14/0.39 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 2.15/1.27 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.15/1.27 % SZS status Started for theBenchmark.p
% 2.15/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.27
% 2.15/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.15/1.27
% 2.15/1.27 % ------ iProver source info
% 2.15/1.27
% 2.15/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.15/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.15/1.27 % git: non_committed_changes: false
% 2.15/1.27
% 2.15/1.27 % ------ Parsing...% successful
% 2.15/1.27
% 2.15/1.27
% 2.15/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.15/1.27
% 2.15/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.15/1.27
% 2.15/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.15/1.27
% 2.15/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.15/1.27 % ------ Proving...
% 2.15/1.27 % ------ Problem Properties
% 2.15/1.27
% 2.15/1.27 %
% 2.15/1.27 % clauses 23
% 2.15/1.27 % conjectures 1
% 2.15/1.27 % EPR 0
% 2.15/1.27 % Horn 23
% 2.15/1.27 % unary 23
% 2.15/1.27 % binary 0
% 2.15/1.27 % lits 23
% 2.15/1.27 % lits eq 23
% 2.15/1.27 % fd_pure 0
% 2.15/1.27 % fd_pseudo 0
% 2.15/1.27 % fd_cond 0
% 2.15/1.27 % fd_pseudo_cond 0
% 2.15/1.27 % AC symbols 0
% 2.15/1.27
% 2.15/1.27 % ------ Input Options Time Limit: Unbounded
% 2.15/1.27
% 2.15/1.27
% 2.15/1.27 % ------
% 2.15/1.27 % Current options:
% 2.15/1.27 % ------
% 2.15/1.27
% 2.15/1.27
% 2.15/1.27 %
% 2.15/1.27
% 2.15/1.27 % ------ Proving...
% 2.15/1.27 %
% 2.15/1.27
% 2.15/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.27
% 2.15/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.15/1.27
% 2.15/1.27
%------------------------------------------------------------------------------