%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT060-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:02:17 PM UTC 2026
% Result : Unsatisfiable 2.69s 1.28s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 63 ( 23 unt; 4 def)
% Number of atoms : 161 ( 45 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 160 ( 62 ~; 94 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
fof(f12,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = very_low ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_32) ).
fof(f13,axiom,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = low ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_33) ).
fof(f14,axiom,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| is_aligned(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = mod1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_34) ).
fof(f15,axiom,
! [X0,X1] :
( ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0)
| positional_advantage(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_35) ).
fof(f16,axiom,
! [X0,X1] :
( positional_advantage(X0,X1)
| has_immunity(X0,X1)
| is_aligned(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = high ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_36) ).
fof(f17,axiom,
greater(high,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a_37) ).
fof(f18,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b_38) ).
fof(f19,axiom,
greater(low,very_low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c_39) ).
fof(f21,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e_41) ).
fof(f22,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_42) ).
fof(f23,negated_conjecture,
has_immunity(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_43) ).
fof(f24,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_44) ).
fof(f25,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_45) ).
fof(f31,plain,
! [X0] :
( ~ greater(X0,low)
| greater(X0,very_low) ),
inference(resolution,[],[f10,f19]) ).
fof(f32,plain,
! [X0] :
( ~ greater(X0,mod1)
| greater(X0,low) ),
inference(resolution,[],[f10,f18]) ).
fof(f36,plain,
( ~ organization(sk1)
| very_low = hazard_of_mortality(sk1,sk2) ),
inference(resolution,[],[f12,f23]) ).
fof(f37,plain,
very_low = hazard_of_mortality(sk1,sk2),
inference(forward_subsumption_resolution,[],[f36,f22]) ).
fof(f39,plain,
! [X0,X1] :
( has_immunity(X0,X1)
| is_aligned(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = high
| has_immunity(X0,X1)
| is_aligned(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = mod1 ),
inference(resolution,[],[f16,f14]) ).
fof(f42,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = high
| hazard_of_mortality(X0,X1) = mod1 ),
inference(duplicate_literal_removal,[],[f39]) ).
fof(f43,plain,
greater(mod1,very_low),
inference(resolution,[],[f31,f18]) ).
fof(f44,plain,
greater(mod2,very_low),
inference(resolution,[],[f31,f21]) ).
fof(f47,plain,
greater(high,low),
inference(resolution,[],[f32,f17]) ).
fof(f51,plain,
greater(high,very_low),
inference(resolution,[],[f47,f31]) ).
fof(f54,plain,
! [X0,X1] :
( has_immunity(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = high
| hazard_of_mortality(X0,X1) = mod1
| has_immunity(X0,X1)
| ~ organization(X0)
| positional_advantage(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
inference(resolution,[],[f42,f15]) ).
fof(f55,plain,
! [X0,X1] :
( positional_advantage(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = high
| hazard_of_mortality(X0,X1) = mod1
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f59,plain,
! [X0,X1] :
( ~ organization(X0)
| hazard_of_mortality(X0,X1) = high
| hazard_of_mortality(X0,X1) = mod1
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod2
| has_immunity(X0,X1)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = low ),
inference(resolution,[],[f55,f13]) ).
fof(f60,plain,
! [X0,X1] :
( ~ organization(X0)
| hazard_of_mortality(X0,X1) = high
| hazard_of_mortality(X0,X1) = mod1
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod2
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = low ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f62,plain,
! [X0,X1] :
( has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = high
| hazard_of_mortality(X0,X1) = mod1
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = mod2
| hazard_of_mortality(X0,X1) = low ),
inference(forward_subsumption_resolution,[],[f60,f42]) ).
fof(f65,plain,
( high = hazard_of_mortality(sk1,sk3)
| mod1 = hazard_of_mortality(sk1,sk3)
| ~ organization(sk1)
| mod2 = hazard_of_mortality(sk1,sk3)
| low = hazard_of_mortality(sk1,sk3) ),
inference(resolution,[],[f62,f24]) ).
fof(f68,plain,
( high = hazard_of_mortality(sk1,sk3)
| mod1 = hazard_of_mortality(sk1,sk3)
| mod2 = hazard_of_mortality(sk1,sk3)
| low = hazard_of_mortality(sk1,sk3) ),
inference(forward_subsumption_resolution,[],[f65,f22]) ).
fof(f70,definition,
( spl0_1
<=> low = hazard_of_mortality(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f72,plain,
( low = hazard_of_mortality(sk1,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl0_2
<=> mod2 = hazard_of_mortality(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f76,plain,
( mod2 = hazard_of_mortality(sk1,sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_3
<=> mod1 = hazard_of_mortality(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f80,plain,
( mod1 = hazard_of_mortality(sk1,sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_4
<=> high = hazard_of_mortality(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f84,plain,
( high = hazard_of_mortality(sk1,sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f68,f82,f78,f74,f70]) ).
fof(f87,plain,
( ~ greater(mod2,hazard_of_mortality(sk1,sk2))
| ~ spl0_2 ),
inference(superposition,[],[f25,f76]) ).
fof(f88,plain,
( ~ greater(mod2,very_low)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f87,f37]) ).
fof(f91,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f88,f44]) ).
fof(f92,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f95,plain,
( ~ greater(mod1,hazard_of_mortality(sk1,sk2))
| ~ spl0_3 ),
inference(superposition,[],[f25,f80]) ).
fof(f96,plain,
( ~ greater(mod1,very_low)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f95,f37]) ).
fof(f99,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f96,f43]) ).
fof(f100,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f104,plain,
( ~ greater(high,hazard_of_mortality(sk1,sk2))
| ~ spl0_4 ),
inference(superposition,[],[f25,f84]) ).
fof(f105,plain,
( ~ greater(high,very_low)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f104,f37]) ).
fof(f108,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f105,f51]) ).
fof(f109,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f114,plain,
( ~ greater(low,hazard_of_mortality(sk1,sk2))
| ~ spl0_1 ),
inference(superposition,[],[f25,f72]) ).
fof(f115,plain,
( ~ greater(low,very_low)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f114,f37]) ).
fof(f118,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f115,f19]) ).
fof(f119,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f118]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f85]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f92]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f100]) ).
cnf(s7,plain,
~ spl0_4,
inference(sat_conversion,[],[f109]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f119]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s7,s5,s3,s9]) ).
fof(f120,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT060-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n015.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 : Sun Sep 27 17:34:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 2.69/1.28 % (1885985)Input is clausal, will run a generic CNF schedule.
% 2.69/1.28 % (1885991)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3374319495:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.28 % (1885992)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2157925304:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.28 % (1885993)lrs+10_1_sil=8000:sp=occurrence:random_seed=2553522312:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.28 % (1885996)dis-21_1_sil=8000:lcm=predicate:random_seed=794443270:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.69/1.28 % (1885994)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1674306775:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.28 % (1885990)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=3059827049:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.28 % (1885995)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3467212374:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.28 % (1885993)First to succeed.
% 2.69/1.28 % (1885993)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1885985"
% 2.69/1.28 % (1885995)Also succeeded, but the first one will report.
% 2.69/1.28 % (1885996)Instruction limit reached!
% 2.69/1.28 % (1885996)------------------------------
% 2.69/1.28 % (1885996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.28 % (1885996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.28 % (1885996)CaDiCaL version: 2.1.3
% 2.69/1.28 % (1885996)Termination reason: Instruction limit
% 2.69/1.28 % (1885996)Termination phase: Saturation
% 2.69/1.28 % (1885996)Time elapsed: 0.045 s
% 2.69/1.28 % (1885996)Peak memory usage: 87 MB
% 2.69/1.28 % (1885996)Instructions burned: 117 (million)
% 2.69/1.28 % (1885994)Instruction limit reached!
% 2.69/1.28 % (1885994)------------------------------
% 2.69/1.28 % (1885994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.28 % (1885994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.28 % (1885994)CaDiCaL version: 2.1.3
% 2.69/1.28 % (1885994)Termination reason: Instruction limit
% 2.69/1.28 % (1885994)Termination phase: Saturation
% 2.69/1.28 % (1885994)Time elapsed: 0.062 s
% 2.69/1.28 % (1885994)Peak memory usage: 88 MB
% 2.69/1.28 % (1885994)Instructions burned: 114 (million)
% 2.69/1.28 % (1886004)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3722542183:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.69/1.28 % (1886004)Also succeeded, but the first one will report.
% 2.69/1.28 % (1886005)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2546484094:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.69/1.28 % (1886005)Also succeeded, but the first one will report.
% 2.69/1.28 % (1885993)Refutation found. Thanks to Tanya!
% 2.69/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.38 % (1885993)------------------------------
% 3.54/1.38 % (1885993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.38 % (1885993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.38 % (1885993)CaDiCaL version: 2.1.3
% 3.54/1.38 % (1885993)Termination reason: Refutation
% 3.54/1.38 % (1885993)Time elapsed: 0.005 s
% 3.54/1.38 % (1885993)Peak memory usage: 89 MB
% 3.54/1.38 % (1885993)Instructions burned: 4 (million)
% 3.54/1.38 % (1885993)------------------------------
% 3.54/1.38 % (1885993)------------------------------
% 3.54/1.38 % (1885985)Success in time 0.44 s
% 3.54/1.38 % Vampire exiting
%------------------------------------------------------------------------------