%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Tue Sep 29 01:49:04 PM UTC 2026
% Result : Theorem 3.59s 1.17s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 19 ~; 18 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( q
=> r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_1) ).
fof(f2,axiom,
( r
=> ( p
& q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_2) ).
fof(f3,axiom,
( p
=> ( q
| r ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_3) ).
fof(f4,conjecture,
( p
<=> q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10) ).
fof(f5,negated_conjecture,
~ ( p
<=> q ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
( p
<~> q ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
( q
| r
| ~ p ),
inference(ennf_transformation,[],[f3]) ).
fof(f8,plain,
( q
| r
| ~ p ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
( ( p
& q )
| ~ r ),
inference(ennf_transformation,[],[f2]) ).
fof(f10,plain,
( r
| ~ q ),
inference(ennf_transformation,[],[f1]) ).
fof(f11,plain,
( ( ~ q
| ~ p )
& ( q
| p ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f12,plain,
( p
| q ),
inference(cnf_transformation,[],[f11]) ).
fof(f13,plain,
( ~ p
| ~ q ),
inference(cnf_transformation,[],[f11]) ).
fof(f14,plain,
( q
| r
| ~ p ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
( q
| ~ r ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( p
| ~ r ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( r
| ~ q ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
( ~ r
| ~ q ),
inference(resolution,[],[f16,f13]) ).
fof(f20,plain,
~ r,
inference(forward_subsumption_resolution,[],[f19,f15]) ).
fof(f21,plain,
~ q,
inference(forward_subsumption_resolution,[],[f17,f20]) ).
fof(f23,plain,
( q
| ~ p ),
inference(forward_subsumption_resolution,[],[f14,f15]) ).
fof(f24,plain,
~ p,
inference(forward_subsumption_resolution,[],[f23,f13]) ).
fof(f26,plain,
q,
inference(resolution,[],[f24,f12]) ).
fof(f27,plain,
$false,
inference(forward_subsumption_resolution,[],[f26,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:26:37 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.59/1.17 % (447030)Detected formulas, will run a generic FOF schedule.
% 3.59/1.17 % (447035)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1984846444:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.59/1.17 % (447037)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4068470135:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.59/1.17 % (447041)dis-21_1_sil=8000:lcm=predicate:random_seed=1404032670:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.59/1.17 % (447040)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2115116206:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.59/1.17 % (447036)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2087194387:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.59/1.17 % (447038)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=773952453:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.59/1.17 % (447039)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3315174980:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.59/1.17 % (447038)Refutation not found, incomplete strategy
% 3.59/1.17 % (447038)------------------------------
% 3.59/1.17 % (447038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.17 % (447038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.17 % (447038)CaDiCaL version: 2.1.3
% 3.59/1.17 % (447038)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.17 % (447038)Time elapsed: 0.001 s
% 3.59/1.17 % (447038)Peak memory usage: 87 MB
% 3.59/1.17 % (447039)First to succeed.
% 3.59/1.17 % (447040)Also succeeded, but the first one will report.
% 3.59/1.17 % (447041)Also succeeded, but the first one will report.
% 3.59/1.17 % (447039)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-447030"
% 3.59/1.17 [W928 15:26:37.935925100 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.59/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.17 [W928 15:26:37.935947030 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.59/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.17 [W928 15:26:37.935967067 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.59/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.17 [W928 15:26:37.935973488 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.59/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.17 [W928 15:26:37.935988321 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.59/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.17 [W928 15:26:37.935995277 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.59/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.17 [W928 15:26:37.936018126 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.59/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.17 [W928 15:26:37.936025604 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.59/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.17 % (447038)------------------------------
% 3.59/1.17 % (447038)------------------------------
% 3.59/1.17 % (447039)Refutation found. Thanks to Tanya!
% 3.59/1.17 % SZS status Theorem for theBenchmark
% 3.59/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.17 % (447039)------------------------------
% 3.59/1.17 % (447039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.17 % (447039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.17 % (447039)CaDiCaL version: 2.1.3
% 3.59/1.17 % (447039)Termination reason: Refutation
% 3.59/1.17 % (447039)Time elapsed: 0.001 s
% 3.59/1.17 % (447039)Peak memory usage: 87 MB
% 3.59/1.17 % (447039)------------------------------
% 3.59/1.17 % (447039)------------------------------
% 3.59/1.17 % (447030)Success in time 0.435 s
% 3.59/1.17 % Vampire exiting
%------------------------------------------------------------------------------