%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN160-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 03:39:19 PM UTC 2026
% Result : Unsatisfiable 0.07s 6.00s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f248,axiom,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f325,axiom,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f354,axiom,
! [X2,X0,X1] :
( ~ p4(b,b,X2)
| ~ s1(X0)
| ~ p4(X1,X0,X0)
| n5(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_316) ).
fof(f369,negated_conjecture,
~ n5(b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ n5(b,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i,X2: $i] :
( n5(X1,X1)
| ~ s1(X1)
| ~ p4(b,b,X2)
| ~ p4(X0,X1,X1) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_475,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_479,plain,
! [X0: $i,X1: $i] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_574,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_662,plain,
! [X0: $i] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_750,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_752,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_758,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_574]) ).
tcf(c_764,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_475]) ).
tcf(c_765,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_750]) ).
tcf(c_770,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_667]) ).
tcf(c_771,plain,
( k3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_662]) ).
tcf(c_812,plain,
( p4(b,b,b)
| ~ k3(b,b,b) ),
inference(instantiation,[status(thm)],[c_479]) ).
tcf(c_891,plain,
( n5(b,b)
| ~ s1(b)
| ~ p4(b,b,b) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_892,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_891,c_812,c_771,c_770,c_765,c_764,c_418,c_758,c_752]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN160-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/5.31 % Computer : n012.cluster.edu
% 0.03/5.31 % Model : x86_64 x86_64
% 0.03/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.31 % Memory : 8046.5625MB
% 0.03/5.31 % OS : Linux 6.8.0-71-generic
% 0.03/5.31 % CPULimit : 300
% 0.03/5.31 % WCLimit : 300
% 0.03/5.31 % DateTime : Fri Sep 25 00:21:05 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/5.33 Running EPR theorem proving
% 0.03/5.33 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/5.34
% 0.03/5.34 % ======== iProver multi-core TPTP/SMT =========
% 0.03/5.34
% 0.03/5.34 % Detected problem language: tptp
% 0.03/5.35 % Proving...
% 0.07/6.00 % SZS status Started for theBenchmark.p
% 0.07/6.00 % SZS status Unsatisfiable for theBenchmark.p
% 0.07/6.00
% 0.07/6.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.07/6.00
% 0.07/6.00 % ------ iProver source info
% 0.07/6.00
% 0.07/6.00 % git: date: 2026-07-19 20:42:38 +0200
% 0.07/6.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.07/6.00 % git: non_committed_changes: false
% 0.07/6.00
% 0.07/6.00 % ------ Parsing...% successful
% 0.07/6.00
% 0.07/6.00
% 0.07/6.00 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.07/6.00 %
% 0.07/6.00
% 0.07/6.00 % ------ Preprocessing...%
% 0.07/6.00
% 0.07/6.00 % SZS status Unsatisfiable for theBenchmark.p
% 0.07/6.00
% 0.07/6.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.07/6.00
% 0.07/6.00
%------------------------------------------------------------------------------