%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN268-1 : TPTP v9.3.1. Released v1.1.0.
% 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 03:39:34 PM UTC 2026
% Result : Unsatisfiable 2.94s 1.22s
% Output : CNFRefutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 53 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f130,axiom,
! [X2,X3,X0,X1] :
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_092) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f179,axiom,
! [X0] :
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_141) ).
fof(f230,axiom,
! [X2,X3,X0,X1] :
( ~ n0(X0,X3)
| ~ p2(X2,X1,X3)
| ~ s1(X1)
| k3(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_192) ).
fof(f296,axiom,
! [X2,X0,X1] :
( ~ l2(X2,X2)
| ~ s1(X1)
| ~ r2(X0)
| q3(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_258) ).
fof(f325,axiom,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ p4(a,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i,X1: $i] : ~ p4(a,X0,X1),
inference(cnf_transformation,[],[f369]) ).
tcf(c_422,plain,
! [X0: $i] :
( p2(X0,a,X0)
| ~ q1(X0,a,X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_431,plain,
q0(a,b),
inference(cnf_transformation,[],[f36]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q1(X3,X1,X3)
| ~ p0(X2,X3)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_534,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( k3(X3,X1,X3)
| ~ s1(X1)
| ~ n0(X3,X2)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_564,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_565,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_656,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_660,plain,
n0(a,b),
inference(cnf_transformation,[],[f15]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X2,X2)
| ~ r2(X2)
| ~ s1(X1)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_755,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_534]) ).
tcf(c_761,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_565]) ).
tcf(c_814,plain,
( p2(b,a,b)
| ~ q1(b,a,b) ),
inference(instantiation,[status(thm)],[c_422]) ).
tcf(c_1045,plain,
! [X0: $i] :
( ~ iPr_def_18
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_744]) ).
tcf(c_1127,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_72
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_72])],[c_564]) ).
tcf(c_1128,plain,
( iPr_def_72
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).
tcf(c_1173,plain,
( ~ iPr_def_18
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1045]) ).
tcf(c_1247,plain,
~ p4(a,a,a),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1250,plain,
! [X0: $i] :
( p4(a,X0,a)
| ~ k3(a,a,X0) ),
inference(instantiation,[status(thm)],[c_441]) ).
tcf(c_1298,plain,
! [X0: $i] :
( s1(a)
| ~ iPr_def_72
| ~ q0(a,X0) ),
inference(instantiation,[status(thm)],[c_1127]) ).
tcf(c_1299,plain,
( s1(a)
| ~ iPr_def_72
| ~ q0(a,b) ),
inference(instantiation,[status(thm)],[c_1298]) ).
tcf(c_1536,plain,
! [X0: $i,X1: $i] :
( q1(X1,a,X1)
| ~ n0(b,a)
| ~ p0(X0,X1) ),
inference(instantiation,[status(thm)],[c_526]) ).
tcf(c_1537,plain,
( q1(b,a,b)
| ~ p0(b,b)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_1536]) ).
tcf(c_1699,plain,
( p4(a,a,a)
| ~ k3(a,a,a) ),
inference(instantiation,[status(thm)],[c_1250]) ).
tcf(c_1700,plain,
! [X0: $i,X1: $i] :
( k3(a,a,a)
| ~ s1(a)
| ~ n0(a,X1)
| ~ p2(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_555]) ).
tcf(c_1701,plain,
( k3(a,a,a)
| ~ s1(a)
| ~ n0(a,b)
| ~ p2(b,a,b) ),
inference(instantiation,[status(thm)],[c_1700]) ).
tcf(c_1702,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1701,c_1699,c_1537,c_1299,c_1247,c_1173,c_1128,c_814,c_761,c_431,c_755,c_656,c_660]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN268-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:40:47 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running EPR theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.94/1.22 % SZS status Started for theBenchmark.p
% 2.94/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.94/1.22
% 2.94/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.94/1.22
% 2.94/1.22 % ------ iProver source info
% 2.94/1.22
% 2.94/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 2.94/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.94/1.22 % git: non_committed_changes: false
% 2.94/1.22
% 2.94/1.22 % ------ Parsing...% successful
% 2.94/1.22
% 2.94/1.22
% 2.94/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.94/1.22 %
% 2.94/1.22
% 2.94/1.22 % ------ Preprocessing... sf_s rm: 25 0s sf_e sf_s rm: 0 0s sf_e %
% 2.94/1.22
% 2.94/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.94/1.22 gs_s sp: 102 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.94/1.22 % ------ Proving...
% 2.94/1.22 % ------ Problem Properties
% 2.94/1.22
% 2.94/1.22 %
% 2.94/1.22 % clauses 380
% 2.94/1.22 % conjectures 1
% 2.94/1.22 % EPR 380
% 2.94/1.22 % Horn 330
% 2.94/1.22 % unary 51
% 2.94/1.22 % binary 154
% 2.94/1.22 % lits 948
% 2.94/1.22 % lits eq 0
% 2.94/1.22 % fd_pure 0
% 2.94/1.22 % fd_pseudo 0
% 2.94/1.22 % fd_cond 0
% 2.94/1.22 % fd_pseudo_cond 0
% 2.94/1.22 % AC symbols 0
% 2.94/1.22
% 2.94/1.22 % ------ Schedule EPR non Horn non eq is on
% 2.94/1.22
% 2.94/1.22 % ------ no equalities: superposition off
% 2.94/1.22
% 2.94/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.94/1.22
% 2.94/1.22
% 2.94/1.22 % ------
% 2.94/1.22 % Current options:
% 2.94/1.22 % ------
% 2.94/1.22
% 2.94/1.22
% 2.94/1.22 %
% 2.94/1.22
% 2.94/1.22 % ------ Proving...
% 2.94/1.22 %
% 2.94/1.22
% 2.94/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.94/1.22
% 2.94/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.94/1.22
% 2.94/1.22
%------------------------------------------------------------------------------