%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:49:14 PM UTC 2026
% Result : Theorem 3.59s 1.19s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 8 ~; 14 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( a = b
| c = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_1) ).
fof(f2,axiom,
( a = c
| b = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_2) ).
fof(f3,conjecture,
( a = d
| b = c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48) ).
fof(f4,negated_conjecture,
~ ( a = d
| b = c ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
( a != d
& b != c ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
b != c,
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
a != d,
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
( b = d
| a = c ),
inference(cnf_transformation,[],[f2]) ).
fof(f9,plain,
( c = d
| a = b ),
inference(cnf_transformation,[],[f1]) ).
fof(f10,plain,
( a != b
| a = c ),
inference(superposition,[],[f7,f8]) ).
fof(f11,plain,
( b = c
| a = b
| a = c ),
inference(superposition,[],[f9,f8]) ).
fof(f12,plain,
( b = c
| a = c
| a = b ),
inference(superposition,[],[f8,f9]) ).
fof(f13,plain,
( a != c
| a = b ),
inference(superposition,[],[f7,f9]) ).
fof(f14,plain,
( a = c
| a = b ),
inference(forward_subsumption_resolution,[],[f12,f6]) ).
fof(f15,plain,
( a = b
| a = c ),
inference(forward_subsumption_resolution,[],[f11,f6]) ).
fof(f16,plain,
a = c,
inference(forward_subsumption_resolution,[],[f14,f10]) ).
fof(f18,plain,
a != b,
inference(superposition,[],[f6,f16]) ).
fof(f20,plain,
a = b,
inference(forward_subsumption_resolution,[],[f15,f13]) ).
fof(f23,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:31:42 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.59/1.19 % (1701634)Detected formulas, will run a generic FOF schedule.
% 3.59/1.19 % (1701639)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=3090954234:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.59/1.19 % (1701640)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=1003619815:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.59/1.19 % (1701645)dis-21_1_sil=8000:lcm=predicate:random_seed=2833873834: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)
% 3.59/1.19 % (1701643)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2166687652:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.59/1.19 % (1701641)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=2211626065:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.59/1.19 % (1701644)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3725285441:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.59/1.19 % (1701642)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1376008957:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.59/1.19 % (1701645)Refutation not found, incomplete strategy
% 3.59/1.19 % (1701645)------------------------------
% 3.59/1.19 % (1701645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.19 % (1701645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.19 % (1701643)First to succeed.
% 3.59/1.19 % (1701645)CaDiCaL version: 2.1.3
% 3.59/1.19 % (1701645)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.19 % (1701645)Time elapsed: 0.001 s
% 3.59/1.19 % (1701645)Peak memory usage: 88 MB
% 3.59/1.19 % (1701642)Refutation not found, incomplete strategy
% 3.59/1.19 % (1701642)------------------------------
% 3.59/1.19 % (1701642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.19 % (1701642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.19 % (1701642)CaDiCaL version: 2.1.3
% 3.59/1.19 % (1701642)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.19 % (1701642)Time elapsed: 0.001 s
% 3.59/1.19 % (1701642)Peak memory usage: 88 MB
% 3.59/1.19 % (1701644)Also succeeded, but the first one will report.
% 3.59/1.19 % (1701643)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1701634"
% 3.59/1.19 [W928 15:31:43.829672831 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.
% 3.59/1.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.19 [W928 15:31:43.829697844 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.
% 3.59/1.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.19 [W928 15:31:43.829718203 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.
% 3.59/1.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.19 [W928 15:31:43.829725401 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.
% 3.59/1.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.19 [W928 15:31:43.829739020 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.
% 3.59/1.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.19 [W928 15:31:43.829745884 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.
% 3.59/1.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.59/1.19 % (1701642)------------------------------
% 3.59/1.19 % (1701642)------------------------------
% 3.59/1.19 % (1701645)------------------------------
% 3.59/1.19 % (1701645)------------------------------
% 3.59/1.19 % (1701643)Refutation found. Thanks to Tanya!
% 3.59/1.19 % SZS status Theorem for theBenchmark
% 3.59/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.19 % (1701643)------------------------------
% 3.59/1.19 % (1701643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.19 % (1701643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.19 % (1701643)CaDiCaL version: 2.1.3
% 3.59/1.19 % (1701643)Termination reason: Refutation
% 3.59/1.19 % (1701643)Time elapsed: 0.002 s
% 3.59/1.19 % (1701643)Peak memory usage: 88 MB
% 3.59/1.19 % (1701643)Instructions burned: 1 (million)
% 3.59/1.19 % (1701643)------------------------------
% 3.59/1.19 % (1701643)------------------------------
% 3.59/1.19 % (1701634)Success in time 0.432 s
% 3.59/1.19 % Vampire exiting
%------------------------------------------------------------------------------